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Finding the Third Proportional to 50,625 and 77,922

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Solution

The third proportional to 50,625 and 77,922 is: 119,937.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,625 : 77,922 = 77,922 : x
  2. Step 2: Convert to fraction form
    50,625/77,922 = 77,922/x
  3. Step 3: Cross multiply
    50,625x = 77,922 × 77,922
  4. Step 4: Simplify right side
    50,625x = 6,071,838,084
  5. Step 5: Solve for x
    x = 6,071,838,084/50,625
  6. Step 6: Final answer
    x = 119,937.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.