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Finding the Third Proportional to 81,772 and 175,192

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Solution

The third proportional to 81,772 and 175,192 is: 375,339.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,772 : 175,192 = 175,192 : x
  2. Step 2: Convert to fraction form
    81,772/175,192 = 175,192/x
  3. Step 3: Cross multiply
    81,772x = 175,192 × 175,192
  4. Step 4: Simplify right side
    81,772x = 30,692,236,864
  5. Step 5: Solve for x
    x = 30,692,236,864/81,772
  6. Step 6: Final answer
    x = 375,339.20

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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.