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Finding the Third Proportional to 85,033 and 132,719

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Solution

The third proportional to 85,033 and 132,719 is: 207,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,033 : 132,719 = 132,719 : x
  2. Step 2: Convert to fraction form
    85,033/132,719 = 132,719/x
  3. Step 3: Cross multiply
    85,033x = 132,719 × 132,719
  4. Step 4: Simplify right side
    85,033x = 17,614,332,961
  5. Step 5: Solve for x
    x = 17,614,332,961/85,033
  6. Step 6: Final answer
    x = 207,147.02

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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.