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Finding the Third Proportional to 89,822 and 134,733

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Solution

The third proportional to 89,822 and 134,733 is: 202,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822 : 134,733 = 134,733 : x
  2. Step 2: Convert to fraction form
    89,822/134,733 = 134,733/x
  3. Step 3: Cross multiply
    89,822x = 134,733 × 134,733
  4. Step 4: Simplify right side
    89,822x = 18,152,981,289
  5. Step 5: Solve for x
    x = 18,152,981,289/89,822
  6. Step 6: Final answer
    x = 202,099.50

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.