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Finding the Third Proportional to 139,757.50 and 215,074

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Solution

The third proportional to 139,757.50 and 215,074 is: 330,979.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,757.50 : 215,074 = 215,074 : x
  2. Step 2: Convert to fraction form
    139,757.50/215,074 = 215,074/x
  3. Step 3: Cross multiply
    139,757.50x = 215,074 × 215,074
  4. Step 4: Simplify right side
    139,757.50x = 46,256,825,476
  5. Step 5: Solve for x
    x = 46,256,825,476/139,757.50
  6. Step 6: Final answer
    x = 330,979.20

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