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Finding the Third Proportional to 50,074 and 77,500

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Solution

The third proportional to 50,074 and 77,500 is: 119,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,074 : 77,500 = 77,500 : x
  2. Step 2: Convert to fraction form
    50,074/77,500 = 77,500/x
  3. Step 3: Cross multiply
    50,074x = 77,500 × 77,500
  4. Step 4: Simplify right side
    50,074x = 6,006,250,000
  5. Step 5: Solve for x
    x = 6,006,250,000/50,074
  6. Step 6: Final answer
    x = 119,947.48

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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.