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Finding the Third Proportional to 62,474 and 89,038

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Solution

The third proportional to 62,474 and 89,038 is: 126,897.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,474 : 89,038 = 89,038 : x
  2. Step 2: Convert to fraction form
    62,474/89,038 = 89,038/x
  3. Step 3: Cross multiply
    62,474x = 89,038 × 89,038
  4. Step 4: Simplify right side
    62,474x = 7,927,765,444
  5. Step 5: Solve for x
    x = 7,927,765,444/62,474
  6. Step 6: Final answer
    x = 126,897.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.