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Finding the Third Proportional to 127,650 and 182,723

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Solution

The third proportional to 127,650 and 182,723 is: 261,556.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,650 : 182,723 = 182,723 : x
  2. Step 2: Convert to fraction form
    127,650/182,723 = 182,723/x
  3. Step 3: Cross multiply
    127,650x = 182,723 × 182,723
  4. Step 4: Simplify right side
    127,650x = 33,387,694,729
  5. Step 5: Solve for x
    x = 33,387,694,729/127,650
  6. Step 6: Final answer
    x = 261,556.56

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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.