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Finding the Third Proportional to 81,864 and 175,344

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Solution

The third proportional to 81,864 and 175,344 is: 375,568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,864 : 175,344 = 175,344 : x
  2. Step 2: Convert to fraction form
    81,864/175,344 = 175,344/x
  3. Step 3: Cross multiply
    81,864x = 175,344 × 175,344
  4. Step 4: Simplify right side
    81,864x = 30,745,518,336
  5. Step 5: Solve for x
    x = 30,745,518,336/81,864
  6. Step 6: Final answer
    x = 375,568.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.