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Finding the Third Proportional to 127,635 and 182,691

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Solution

The third proportional to 127,635 and 182,691 is: 261,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,635 : 182,691 = 182,691 : x
  2. Step 2: Convert to fraction form
    127,635/182,691 = 182,691/x
  3. Step 3: Cross multiply
    127,635x = 182,691 × 182,691
  4. Step 4: Simplify right side
    127,635x = 33,376,001,481
  5. Step 5: Solve for x
    x = 33,376,001,481/127,635
  6. Step 6: Final answer
    x = 261,495.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.