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Finding the Third Proportional to 51,067.13 and 78,753.94

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Solution

The third proportional to 51,067.13 and 78,753.94 is: 121,451.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,067.13 : 78,753.94 = 78,753.94 : x
  2. Step 2: Convert to fraction form
    51,067.13/78,753.94 = 78,753.94/x
  3. Step 3: Cross multiply
    51,067.13x = 78,753.94 × 78,753.94
  4. Step 4: Simplify right side
    51,067.13x = 6,202,182,671.75
  5. Step 5: Solve for x
    x = 6,202,182,671.75/51,067.13
  6. Step 6: Final answer
    x = 121,451.57

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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.