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Finding the Third Proportional to 62,429 and 96,059

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Solution

The third proportional to 62,429 and 96,059 is: 147,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,429 : 96,059 = 96,059 : x
  2. Step 2: Convert to fraction form
    62,429/96,059 = 96,059/x
  3. Step 3: Cross multiply
    62,429x = 96,059 × 96,059
  4. Step 4: Simplify right side
    62,429x = 9,227,331,481
  5. Step 5: Solve for x
    x = 9,227,331,481/62,429
  6. Step 6: Final answer
    x = 147,805.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.