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Finding the Third Proportional to 81,587.25 and 126,086.63

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Solution

The third proportional to 81,587.25 and 126,086.63 is: 194,856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,587.25 : 126,086.63 = 126,086.63 : x
  2. Step 2: Convert to fraction form
    81,587.25/126,086.63 = 126,086.63/x
  3. Step 3: Cross multiply
    81,587.25x = 126,086.63 × 126,086.63
  4. Step 4: Simplify right side
    81,587.25x = 15,897,837,003.89
  5. Step 5: Solve for x
    x = 15,897,837,003.89/81,587.25
  6. Step 6: Final answer
    x = 194,856.88

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.