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Finding the Third Proportional to 62,486 and 89,053

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Solution

The third proportional to 62,486 and 89,053 is: 126,915.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,486 : 89,053 = 89,053 : x
  2. Step 2: Convert to fraction form
    62,486/89,053 = 89,053/x
  3. Step 3: Cross multiply
    62,486x = 89,053 × 89,053
  4. Step 4: Simplify right side
    62,486x = 7,930,436,809
  5. Step 5: Solve for x
    x = 7,930,436,809/62,486
  6. Step 6: Final answer
    x = 126,915.42

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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.