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Finding the Third Proportional to 125,502.96 and 191,195.86

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Solution

The third proportional to 125,502.96 and 191,195.86 is: 291,274.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,502.96 : 191,195.86 = 191,195.86 : x
  2. Step 2: Convert to fraction form
    125,502.96/191,195.86 = 191,195.86/x
  3. Step 3: Cross multiply
    125,502.96x = 191,195.86 × 191,195.86
  4. Step 4: Simplify right side
    125,502.96x = 36,555,856,642.14
  5. Step 5: Solve for x
    x = 36,555,856,642.14/125,502.96
  6. Step 6: Final answer
    x = 291,274.85

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.