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Finding the Third Proportional to 81,693 and 176,956

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Solution

The third proportional to 81,693 and 176,956 is: 383,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,693 : 176,956 = 176,956 : x
  2. Step 2: Convert to fraction form
    81,693/176,956 = 176,956/x
  3. Step 3: Cross multiply
    81,693x = 176,956 × 176,956
  4. Step 4: Simplify right side
    81,693x = 31,313,425,936
  5. Step 5: Solve for x
    x = 31,313,425,936/81,693
  6. Step 6: Final answer
    x = 383,306.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.