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Finding the Third Proportional to 71,164.50 and 152,881.50

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Solution

The third proportional to 71,164.50 and 152,881.50 is: 328,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,164.50 : 152,881.50 = 152,881.50 : x
  2. Step 2: Convert to fraction form
    71,164.50/152,881.50 = 152,881.50/x
  3. Step 3: Cross multiply
    71,164.50x = 152,881.50 × 152,881.50
  4. Step 4: Simplify right side
    71,164.50x = 23,372,753,042.25
  5. Step 5: Solve for x
    x = 23,372,753,042.25/71,164.50
  6. Step 6: Final answer
    x = 328,432.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.