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Finding the Third Proportional to 41,952 and 87,324

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Solution

The third proportional to 41,952 and 87,324 is: 181,766.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,952 : 87,324 = 87,324 : x
  2. Step 2: Convert to fraction form
    41,952/87,324 = 87,324/x
  3. Step 3: Cross multiply
    41,952x = 87,324 × 87,324
  4. Step 4: Simplify right side
    41,952x = 7,625,480,976
  5. Step 5: Solve for x
    x = 7,625,480,976/41,952
  6. Step 6: Final answer
    x = 181,766.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.