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Finding the Third Proportional to 95,529.38 and 137,340.56

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Solution

The third proportional to 95,529.38 and 137,340.56 is: 197,451.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,529.38 : 137,340.56 = 137,340.56 : x
  2. Step 2: Convert to fraction form
    95,529.38/137,340.56 = 137,340.56/x
  3. Step 3: Cross multiply
    95,529.38x = 137,340.56 × 137,340.56
  4. Step 4: Simplify right side
    95,529.38x = 18,862,430,107.82
  5. Step 5: Solve for x
    x = 18,862,430,107.82/95,529.38
  6. Step 6: Final answer
    x = 197,451.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.