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Finding the Third Proportional to 122,662 and 182,697

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Solution

The third proportional to 122,662 and 182,697 is: 272,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,662 : 182,697 = 182,697 : x
  2. Step 2: Convert to fraction form
    122,662/182,697 = 182,697/x
  3. Step 3: Cross multiply
    122,662x = 182,697 × 182,697
  4. Step 4: Simplify right side
    122,662x = 33,378,193,809
  5. Step 5: Solve for x
    x = 33,378,193,809/122,662
  6. Step 6: Final answer
    x = 272,115.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.