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Finding the Third Proportional to 81,008 and 176,554

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Solution

The third proportional to 81,008 and 176,554 is: 384,793.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,008 : 176,554 = 176,554 : x
  2. Step 2: Convert to fraction form
    81,008/176,554 = 176,554/x
  3. Step 3: Cross multiply
    81,008x = 176,554 × 176,554
  4. Step 4: Simplify right side
    81,008x = 31,171,314,916
  5. Step 5: Solve for x
    x = 31,171,314,916/81,008
  6. Step 6: Final answer
    x = 384,793.04

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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.