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Finding the Third Proportional to 78,061.50 and 171,675

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Solution

The third proportional to 78,061.50 and 171,675 is: 377,552.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,061.50 : 171,675 = 171,675 : x
  2. Step 2: Convert to fraction form
    78,061.50/171,675 = 171,675/x
  3. Step 3: Cross multiply
    78,061.50x = 171,675 × 171,675
  4. Step 4: Simplify right side
    78,061.50x = 29,472,305,625
  5. Step 5: Solve for x
    x = 29,472,305,625/78,061.50
  6. Step 6: Final answer
    x = 377,552.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.