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Finding the Third Proportional to 61,599.50 and 132,401.25

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Solution

The third proportional to 61,599.50 and 132,401.25 is: 284,581.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,599.50 : 132,401.25 = 132,401.25 : x
  2. Step 2: Convert to fraction form
    61,599.50/132,401.25 = 132,401.25/x
  3. Step 3: Cross multiply
    61,599.50x = 132,401.25 × 132,401.25
  4. Step 4: Simplify right side
    61,599.50x = 17,530,091,001.56
  5. Step 5: Solve for x
    x = 17,530,091,001.56/61,599.50
  6. Step 6: Final answer
    x = 284,581.71

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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.