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Finding the Third Proportional to 63,810 and 93,741

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Solution

The third proportional to 63,810 and 93,741 is: 137,711.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,810 : 93,741 = 93,741 : x
  2. Step 2: Convert to fraction form
    63,810/93,741 = 93,741/x
  3. Step 3: Cross multiply
    63,810x = 93,741 × 93,741
  4. Step 4: Simplify right side
    63,810x = 8,787,375,081
  5. Step 5: Solve for x
    x = 8,787,375,081/63,810
  6. Step 6: Final answer
    x = 137,711.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.