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Finding the Third Proportional to 95,139.56 and 150,535.97

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Solution

The third proportional to 95,139.56 and 150,535.97 is: 238,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,139.56 : 150,535.97 = 150,535.97 : x
  2. Step 2: Convert to fraction form
    95,139.56/150,535.97 = 150,535.97/x
  3. Step 3: Cross multiply
    95,139.56x = 150,535.97 × 150,535.97
  4. Step 4: Simplify right side
    95,139.56x = 22,661,077,887.50
  5. Step 5: Solve for x
    x = 22,661,077,887.50/95,139.56
  6. Step 6: Final answer
    x = 238,187.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.