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Finding the Third Proportional to 81,753.75 and 176,032.13

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Solution

The third proportional to 81,753.75 and 176,032.13 is: 379,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,753.75 : 176,032.13 = 176,032.13 : x
  2. Step 2: Convert to fraction form
    81,753.75/176,032.13 = 176,032.13/x
  3. Step 3: Cross multiply
    81,753.75x = 176,032.13 × 176,032.13
  4. Step 4: Simplify right side
    81,753.75x = 30,987,309,032.02
  5. Step 5: Solve for x
    x = 30,987,309,032.02/81,753.75
  6. Step 6: Final answer
    x = 379,032.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.