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Finding the Third Proportional to 81,332 and 173,032

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Solution

The third proportional to 81,332 and 173,032 is: 368,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,332 : 173,032 = 173,032 : x
  2. Step 2: Convert to fraction form
    81,332/173,032 = 173,032/x
  3. Step 3: Cross multiply
    81,332x = 173,032 × 173,032
  4. Step 4: Simplify right side
    81,332x = 29,940,073,024
  5. Step 5: Solve for x
    x = 29,940,073,024/81,332
  6. Step 6: Final answer
    x = 368,121.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.