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Finding the Third Proportional to 72,625 and 156,719

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Solution

The third proportional to 72,625 and 156,719 is: 338,187.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,625 : 156,719 = 156,719 : x
  2. Step 2: Convert to fraction form
    72,625/156,719 = 156,719/x
  3. Step 3: Cross multiply
    72,625x = 156,719 × 156,719
  4. Step 4: Simplify right side
    72,625x = 24,560,844,961
  5. Step 5: Solve for x
    x = 24,560,844,961/72,625
  6. Step 6: Final answer
    x = 338,187.19

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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.