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Finding the Third Proportional to 95,612 and 140,124

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Solution

The third proportional to 95,612 and 140,124 is: 205,358.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,612 : 140,124 = 140,124 : x
  2. Step 2: Convert to fraction form
    95,612/140,124 = 140,124/x
  3. Step 3: Cross multiply
    95,612x = 140,124 × 140,124
  4. Step 4: Simplify right side
    95,612x = 19,634,735,376
  5. Step 5: Solve for x
    x = 19,634,735,376/95,612
  6. Step 6: Final answer
    x = 205,358.48

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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.