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Finding the Third Proportional to 130,778.38 and 185,102.17

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Solution

The third proportional to 130,778.38 and 185,102.17 is: 261,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,778.38 : 185,102.17 = 185,102.17 : x
  2. Step 2: Convert to fraction form
    130,778.38/185,102.17 = 185,102.17/x
  3. Step 3: Cross multiply
    130,778.38x = 185,102.17 × 185,102.17
  4. Step 4: Simplify right side
    130,778.38x = 34,262,811,502.15
  5. Step 5: Solve for x
    x = 34,262,811,502.15/130,778.38
  6. Step 6: Final answer
    x = 261,991.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.