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Finding the Third Proportional to 51,067.13 and 109,149.75

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Solution

The third proportional to 51,067.13 and 109,149.75 is: 233,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,067.13 : 109,149.75 = 109,149.75 : x
  2. Step 2: Convert to fraction form
    51,067.13/109,149.75 = 109,149.75/x
  3. Step 3: Cross multiply
    51,067.13x = 109,149.75 × 109,149.75
  4. Step 4: Simplify right side
    51,067.13x = 11,913,667,925.06
  5. Step 5: Solve for x
    x = 11,913,667,925.06/51,067.13
  6. Step 6: Final answer
    x = 233,294.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.