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Finding the Third Proportional to 61,431.75 and 132,294.09

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Solution

The third proportional to 61,431.75 and 132,294.09 is: 284,897.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431.75 : 132,294.09 = 132,294.09 : x
  2. Step 2: Convert to fraction form
    61,431.75/132,294.09 = 132,294.09/x
  3. Step 3: Cross multiply
    61,431.75x = 132,294.09 × 132,294.09
  4. Step 4: Simplify right side
    61,431.75x = 17,501,727,241.13
  5. Step 5: Solve for x
    x = 17,501,727,241.13/61,431.75
  6. Step 6: Final answer
    x = 284,897.10

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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.