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Finding the Third Proportional to 89,802 and 134,718

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Solution

The third proportional to 89,802 and 134,718 is: 202,099.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,802 : 134,718 = 134,718 : x
  2. Step 2: Convert to fraction form
    89,802/134,718 = 134,718/x
  3. Step 3: Cross multiply
    89,802x = 134,718 × 134,718
  4. Step 4: Simplify right side
    89,802x = 18,148,939,524
  5. Step 5: Solve for x
    x = 18,148,939,524/89,802
  6. Step 6: Final answer
    x = 202,099.50

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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.