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Finding the Third Proportional to 50,102 and 77,686

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Solution

The third proportional to 50,102 and 77,686 is: 120,456.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,102 : 77,686 = 77,686 : x
  2. Step 2: Convert to fraction form
    50,102/77,686 = 77,686/x
  3. Step 3: Cross multiply
    50,102x = 77,686 × 77,686
  4. Step 4: Simplify right side
    50,102x = 6,035,114,596
  5. Step 5: Solve for x
    x = 6,035,114,596/50,102
  6. Step 6: Final answer
    x = 120,456.56

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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.