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Finding the Third Proportional to 81,960 and 177,042

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Solution

The third proportional to 81,960 and 177,042 is: 382,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,960 : 177,042 = 177,042 : x
  2. Step 2: Convert to fraction form
    81,960/177,042 = 177,042/x
  3. Step 3: Cross multiply
    81,960x = 177,042 × 177,042
  4. Step 4: Simplify right side
    81,960x = 31,343,869,764
  5. Step 5: Solve for x
    x = 31,343,869,764/81,960
  6. Step 6: Final answer
    x = 382,428.86

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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.