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Finding the Third Proportional to 128,767.25 and 189,296.75

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Solution

The third proportional to 128,767.25 and 189,296.75 is: 278,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,767.25 : 189,296.75 = 189,296.75 : x
  2. Step 2: Convert to fraction form
    128,767.25/189,296.75 = 189,296.75/x
  3. Step 3: Cross multiply
    128,767.25x = 189,296.75 × 189,296.75
  4. Step 4: Simplify right side
    128,767.25x = 35,833,259,560.56
  5. Step 5: Solve for x
    x = 35,833,259,560.56/128,767.25
  6. Step 6: Final answer
    x = 278,279.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.