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Finding the Third Proportional to 68,558 and 103,567

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Solution

The third proportional to 68,558 and 103,567 is: 156,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,558 : 103,567 = 103,567 : x
  2. Step 2: Convert to fraction form
    68,558/103,567 = 103,567/x
  3. Step 3: Cross multiply
    68,558x = 103,567 × 103,567
  4. Step 4: Simplify right side
    68,558x = 10,726,123,489
  5. Step 5: Solve for x
    x = 10,726,123,489/68,558
  6. Step 6: Final answer
    x = 156,453.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.