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Finding the Third Proportional to 50,860 and 78,686

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Solution

The third proportional to 50,860 and 78,686 is: 121,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,860 : 78,686 = 78,686 : x
  2. Step 2: Convert to fraction form
    50,860/78,686 = 78,686/x
  3. Step 3: Cross multiply
    50,860x = 78,686 × 78,686
  4. Step 4: Simplify right side
    50,860x = 6,191,486,596
  5. Step 5: Solve for x
    x = 6,191,486,596/50,860
  6. Step 6: Final answer
    x = 121,735.87

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Why These Related Problems?

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