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Finding the Third Proportional to 127,949 and 150,569

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Solution

The third proportional to 127,949 and 150,569 is: 177,187.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,949 : 150,569 = 150,569 : x
  2. Step 2: Convert to fraction form
    127,949/150,569 = 150,569/x
  3. Step 3: Cross multiply
    127,949x = 150,569 × 150,569
  4. Step 4: Simplify right side
    127,949x = 22,671,023,761
  5. Step 5: Solve for x
    x = 22,671,023,761/127,949
  6. Step 6: Final answer
    x = 177,187.97

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.