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Finding the Third Proportional to 66,663 and 93,757

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Solution

The third proportional to 66,663 and 93,757 is: 131,862.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,663 : 93,757 = 93,757 : x
  2. Step 2: Convert to fraction form
    66,663/93,757 = 93,757/x
  3. Step 3: Cross multiply
    66,663x = 93,757 × 93,757
  4. Step 4: Simplify right side
    66,663x = 8,790,375,049
  5. Step 5: Solve for x
    x = 8,790,375,049/66,663
  6. Step 6: Final answer
    x = 131,862.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.