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Finding the Third Proportional to 81,048 and 176,281

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Solution

The third proportional to 81,048 and 176,281 is: 383,414.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048 : 176,281 = 176,281 : x
  2. Step 2: Convert to fraction form
    81,048/176,281 = 176,281/x
  3. Step 3: Cross multiply
    81,048x = 176,281 × 176,281
  4. Step 4: Simplify right side
    81,048x = 31,074,990,961
  5. Step 5: Solve for x
    x = 31,074,990,961/81,048
  6. Step 6: Final answer
    x = 383,414.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.