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Finding the Third Proportional to 77,019 and 112,860

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Solution

The third proportional to 77,019 and 112,860 is: 165,379.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,019 : 112,860 = 112,860 : x
  2. Step 2: Convert to fraction form
    77,019/112,860 = 112,860/x
  3. Step 3: Cross multiply
    77,019x = 112,860 × 112,860
  4. Step 4: Simplify right side
    77,019x = 12,737,379,600
  5. Step 5: Solve for x
    x = 12,737,379,600/77,019
  6. Step 6: Final answer
    x = 165,379.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.