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Finding the Third Proportional to 87,071.13 and 177,832.25

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Solution

The third proportional to 87,071.13 and 177,832.25 is: 363,200.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,071.13 : 177,832.25 = 177,832.25 : x
  2. Step 2: Convert to fraction form
    87,071.13/177,832.25 = 177,832.25/x
  3. Step 3: Cross multiply
    87,071.13x = 177,832.25 × 177,832.25
  4. Step 4: Simplify right side
    87,071.13x = 31,624,309,140.06
  5. Step 5: Solve for x
    x = 31,624,309,140.06/87,071.13
  6. Step 6: Final answer
    x = 363,200.88

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.