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Finding the Third Proportional to 82,120.88 and 177,060

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Solution

The third proportional to 82,120.88 and 177,060 is: 381,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,120.88 : 177,060 = 177,060 : x
  2. Step 2: Convert to fraction form
    82,120.88/177,060 = 177,060/x
  3. Step 3: Cross multiply
    82,120.88x = 177,060 × 177,060
  4. Step 4: Simplify right side
    82,120.88x = 31,350,243,600
  5. Step 5: Solve for x
    x = 31,350,243,600/82,120.88
  6. Step 6: Final answer
    x = 381,757.30

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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.