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Finding the Third Proportional to 85,034 and 132,721

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Solution

The third proportional to 85,034 and 132,721 is: 207,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,034 : 132,721 = 132,721 : x
  2. Step 2: Convert to fraction form
    85,034/132,721 = 132,721/x
  3. Step 3: Cross multiply
    85,034x = 132,721 × 132,721
  4. Step 4: Simplify right side
    85,034x = 17,614,863,841
  5. Step 5: Solve for x
    x = 17,614,863,841/85,034
  6. Step 6: Final answer
    x = 207,150.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.