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Finding the Third Proportional to 138,732 and 207,718

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Solution

The third proportional to 138,732 and 207,718 is: 311,008.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,732 : 207,718 = 207,718 : x
  2. Step 2: Convert to fraction form
    138,732/207,718 = 207,718/x
  3. Step 3: Cross multiply
    138,732x = 207,718 × 207,718
  4. Step 4: Simplify right side
    138,732x = 43,146,767,524
  5. Step 5: Solve for x
    x = 43,146,767,524/138,732
  6. Step 6: Final answer
    x = 311,008.04

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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.