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Finding the Third Proportional to 81,464 and 176,176

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Solution

The third proportional to 81,464 and 176,176 is: 381,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,464 : 176,176 = 176,176 : x
  2. Step 2: Convert to fraction form
    81,464/176,176 = 176,176/x
  3. Step 3: Cross multiply
    81,464x = 176,176 × 176,176
  4. Step 4: Simplify right side
    81,464x = 31,037,982,976
  5. Step 5: Solve for x
    x = 31,037,982,976/81,464
  6. Step 6: Final answer
    x = 381,002.44

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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.