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Finding the Third Proportional to 62,466 and 93,635

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Solution

The third proportional to 62,466 and 93,635 is: 140,356.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466 : 93,635 = 93,635 : x
  2. Step 2: Convert to fraction form
    62,466/93,635 = 93,635/x
  3. Step 3: Cross multiply
    62,466x = 93,635 × 93,635
  4. Step 4: Simplify right side
    62,466x = 8,767,513,225
  5. Step 5: Solve for x
    x = 8,767,513,225/62,466
  6. Step 6: Final answer
    x = 140,356.57

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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.