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Finding the Third Proportional to 138,732.75 and 207,717.75

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Solution

The third proportional to 138,732.75 and 207,717.75 is: 311,005.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732.75 : 207,717.75 = 207,717.75 : x
  2. Step 2: Convert to fraction form
    138,732.75/207,717.75 = 207,717.75/x
  3. Step 3: Cross multiply
    138,732.75x = 207,717.75 × 207,717.75
  4. Step 4: Simplify right side
    138,732.75x = 43,146,663,665.06
  5. Step 5: Solve for x
    x = 43,146,663,665.06/138,732.75
  6. Step 6: Final answer
    x = 311,005.61

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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.