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Finding the Third Proportional to 95,474 and 140,289

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Solution

The third proportional to 95,474 and 140,289 is: 206,139.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,474 : 140,289 = 140,289 : x
  2. Step 2: Convert to fraction form
    95,474/140,289 = 140,289/x
  3. Step 3: Cross multiply
    95,474x = 140,289 × 140,289
  4. Step 4: Simplify right side
    95,474x = 19,681,003,521
  5. Step 5: Solve for x
    x = 19,681,003,521/95,474
  6. Step 6: Final answer
    x = 206,139.93

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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.