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Finding the Third Proportional to 125,057.25 and 187,242.19

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Solution

The third proportional to 125,057.25 and 187,242.19 is: 280,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,057.25 : 187,242.19 = 187,242.19 : x
  2. Step 2: Convert to fraction form
    125,057.25/187,242.19 = 187,242.19/x
  3. Step 3: Cross multiply
    125,057.25x = 187,242.19 × 187,242.19
  4. Step 4: Simplify right side
    125,057.25x = 35,059,636,779.79
  5. Step 5: Solve for x
    x = 35,059,636,779.79/125,057.25
  6. Step 6: Final answer
    x = 280,348.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.