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Finding the Third Proportional to 138,734 and 207,721

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Solution

The third proportional to 138,734 and 207,721 is: 311,012.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,734 : 207,721 = 207,721 : x
  2. Step 2: Convert to fraction form
    138,734/207,721 = 207,721/x
  3. Step 3: Cross multiply
    138,734x = 207,721 × 207,721
  4. Step 4: Simplify right side
    138,734x = 43,148,013,841
  5. Step 5: Solve for x
    x = 43,148,013,841/138,734
  6. Step 6: Final answer
    x = 311,012.54

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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.