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Finding the Third Proportional to 67,725 and 101,592

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Solution

The third proportional to 67,725 and 101,592 is: 152,394.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,725 : 101,592 = 101,592 : x
  2. Step 2: Convert to fraction form
    67,725/101,592 = 101,592/x
  3. Step 3: Cross multiply
    67,725x = 101,592 × 101,592
  4. Step 4: Simplify right side
    67,725x = 10,320,934,464
  5. Step 5: Solve for x
    x = 10,320,934,464/67,725
  6. Step 6: Final answer
    x = 152,394.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.