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Finding the Third Proportional to 71,353.50 and 152,207.50

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Solution

The third proportional to 71,353.50 and 152,207.50 is: 324,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,353.50 : 152,207.50 = 152,207.50 : x
  2. Step 2: Convert to fraction form
    71,353.50/152,207.50 = 152,207.50/x
  3. Step 3: Cross multiply
    71,353.50x = 152,207.50 × 152,207.50
  4. Step 4: Simplify right side
    71,353.50x = 23,167,123,056.25
  5. Step 5: Solve for x
    x = 23,167,123,056.25/71,353.50
  6. Step 6: Final answer
    x = 324,680.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.