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Finding the Third Proportional to 63,481 and 93,256

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Solution

The third proportional to 63,481 and 93,256 is: 136,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,481 : 93,256 = 93,256 : x
  2. Step 2: Convert to fraction form
    63,481/93,256 = 93,256/x
  3. Step 3: Cross multiply
    63,481x = 93,256 × 93,256
  4. Step 4: Simplify right side
    63,481x = 8,696,681,536
  5. Step 5: Solve for x
    x = 8,696,681,536/63,481
  6. Step 6: Final answer
    x = 136,996.61

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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.