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Finding the Third Proportional to 71,662 and 167,342.50

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Solution

The third proportional to 71,662 and 167,342.50 is: 390,772.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,662 : 167,342.50 = 167,342.50 : x
  2. Step 2: Convert to fraction form
    71,662/167,342.50 = 167,342.50/x
  3. Step 3: Cross multiply
    71,662x = 167,342.50 × 167,342.50
  4. Step 4: Simplify right side
    71,662x = 28,003,512,306.25
  5. Step 5: Solve for x
    x = 28,003,512,306.25/71,662
  6. Step 6: Final answer
    x = 390,772.13

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.