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Finding the Third Proportional to 61,265.25 and 134,613

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Solution

The third proportional to 61,265.25 and 134,613 is: 295,773.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,265.25 : 134,613 = 134,613 : x
  2. Step 2: Convert to fraction form
    61,265.25/134,613 = 134,613/x
  3. Step 3: Cross multiply
    61,265.25x = 134,613 × 134,613
  4. Step 4: Simplify right side
    61,265.25x = 18,120,659,769
  5. Step 5: Solve for x
    x = 18,120,659,769/61,265.25
  6. Step 6: Final answer
    x = 295,773.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.