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Finding the Third Proportional to 71,529.75 and 152,553.38

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Solution

The third proportional to 71,529.75 and 152,553.38 is: 325,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,529.75 : 152,553.38 = 152,553.38 : x
  2. Step 2: Convert to fraction form
    71,529.75/152,553.38 = 152,553.38/x
  3. Step 3: Cross multiply
    71,529.75x = 152,553.38 × 152,553.38
  4. Step 4: Simplify right side
    71,529.75x = 23,272,532,223.89
  5. Step 5: Solve for x
    x = 23,272,532,223.89/71,529.75
  6. Step 6: Final answer
    x = 325,354.59

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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.