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Finding the Third Proportional to 59,132 and 127,741

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Solution

The third proportional to 59,132 and 127,741 is: 275,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,132 : 127,741 = 127,741 : x
  2. Step 2: Convert to fraction form
    59,132/127,741 = 127,741/x
  3. Step 3: Cross multiply
    59,132x = 127,741 × 127,741
  4. Step 4: Simplify right side
    59,132x = 16,317,763,081
  5. Step 5: Solve for x
    x = 16,317,763,081/59,132
  6. Step 6: Final answer
    x = 275,954.87

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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.