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Finding the Third Proportional to 72,200 and 111,579

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Solution

The third proportional to 72,200 and 111,579 is: 172,435.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,200 : 111,579 = 111,579 : x
  2. Step 2: Convert to fraction form
    72,200/111,579 = 111,579/x
  3. Step 3: Cross multiply
    72,200x = 111,579 × 111,579
  4. Step 4: Simplify right side
    72,200x = 12,449,873,241
  5. Step 5: Solve for x
    x = 12,449,873,241/72,200
  6. Step 6: Final answer
    x = 172,435.92

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.