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Finding the Third Proportional to 95,264.50 and 140,142.75

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Solution

The third proportional to 95,264.50 and 140,142.75 is: 206,162.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,264.50 : 140,142.75 = 140,142.75 : x
  2. Step 2: Convert to fraction form
    95,264.50/140,142.75 = 140,142.75/x
  3. Step 3: Cross multiply
    95,264.50x = 140,142.75 × 140,142.75
  4. Step 4: Simplify right side
    95,264.50x = 19,639,990,377.56
  5. Step 5: Solve for x
    x = 19,639,990,377.56/95,264.50
  6. Step 6: Final answer
    x = 206,162.74

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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.