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Finding the Third Proportional to 72,874 and 156,925

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Solution

The third proportional to 72,874 and 156,925 is: 337,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,874 : 156,925 = 156,925 : x
  2. Step 2: Convert to fraction form
    72,874/156,925 = 156,925/x
  3. Step 3: Cross multiply
    72,874x = 156,925 × 156,925
  4. Step 4: Simplify right side
    72,874x = 24,625,455,625
  5. Step 5: Solve for x
    x = 24,625,455,625/72,874
  6. Step 6: Final answer
    x = 337,918.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.