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Finding the Third Proportional to 130,768.75 and 202,067.75

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Solution

The third proportional to 130,768.75 and 202,067.75 is: 312,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,768.75 : 202,067.75 = 202,067.75 : x
  2. Step 2: Convert to fraction form
    130,768.75/202,067.75 = 202,067.75/x
  3. Step 3: Cross multiply
    130,768.75x = 202,067.75 × 202,067.75
  4. Step 4: Simplify right side
    130,768.75x = 40,831,375,590.06
  5. Step 5: Solve for x
    x = 40,831,375,590.06/130,768.75
  6. Step 6: Final answer
    x = 312,241.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.