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Finding the Third Proportional to 81,366 and 175,692

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Solution

The third proportional to 81,366 and 175,692 is: 379,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,366 : 175,692 = 175,692 : x
  2. Step 2: Convert to fraction form
    81,366/175,692 = 175,692/x
  3. Step 3: Cross multiply
    81,366x = 175,692 × 175,692
  4. Step 4: Simplify right side
    81,366x = 30,867,678,864
  5. Step 5: Solve for x
    x = 30,867,678,864/81,366
  6. Step 6: Final answer
    x = 379,368.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.