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Finding the Third Proportional to 138,132.84 and 207,711.84

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Solution

The third proportional to 138,132.84 and 207,711.84 is: 312,338.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,132.84 : 207,711.84 = 207,711.84 : x
  2. Step 2: Convert to fraction form
    138,132.84/207,711.84 = 207,711.84/x
  3. Step 3: Cross multiply
    138,132.84x = 207,711.84 × 207,711.84
  4. Step 4: Simplify right side
    138,132.84x = 43,144,210,034.02
  5. Step 5: Solve for x
    x = 43,144,210,034.02/138,132.84
  6. Step 6: Final answer
    x = 312,338.53

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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.