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Finding the Third Proportional to 89,839.13 and 134,760.38

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Solution

The third proportional to 89,839.13 and 134,760.38 is: 202,143.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,839.13 : 134,760.38 = 134,760.38 : x
  2. Step 2: Convert to fraction form
    89,839.13/134,760.38 = 134,760.38/x
  3. Step 3: Cross multiply
    89,839.13x = 134,760.38 × 134,760.38
  4. Step 4: Simplify right side
    89,839.13x = 18,160,358,670.14
  5. Step 5: Solve for x
    x = 18,160,358,670.14/89,839.13
  6. Step 6: Final answer
    x = 202,143.09

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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.