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Finding the Third Proportional to 74,012 and 112,860

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Solution

The third proportional to 74,012 and 112,860 is: 172,098.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,012 : 112,860 = 112,860 : x
  2. Step 2: Convert to fraction form
    74,012/112,860 = 112,860/x
  3. Step 3: Cross multiply
    74,012x = 112,860 × 112,860
  4. Step 4: Simplify right side
    74,012x = 12,737,379,600
  5. Step 5: Solve for x
    x = 12,737,379,600/74,012
  6. Step 6: Final answer
    x = 172,098.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.