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Finding the Third Proportional to 71,350.88 and 152,201.53

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Solution

The third proportional to 71,350.88 and 152,201.53 is: 324,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,350.88 : 152,201.53 = 152,201.53 : x
  2. Step 2: Convert to fraction form
    71,350.88/152,201.53 = 152,201.53/x
  3. Step 3: Cross multiply
    71,350.88x = 152,201.53 × 152,201.53
  4. Step 4: Simplify right side
    71,350.88x = 23,165,306,114.84
  5. Step 5: Solve for x
    x = 23,165,306,114.84/71,350.88
  6. Step 6: Final answer
    x = 324,667.44

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Why These Related Problems?

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