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Finding the Third Proportional to 95,400 and 140,184

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Solution

The third proportional to 95,400 and 140,184 is: 205,991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,400 : 140,184 = 140,184 : x
  2. Step 2: Convert to fraction form
    95,400/140,184 = 140,184/x
  3. Step 3: Cross multiply
    95,400x = 140,184 × 140,184
  4. Step 4: Simplify right side
    95,400x = 19,651,553,856
  5. Step 5: Solve for x
    x = 19,651,553,856/95,400
  6. Step 6: Final answer
    x = 205,991.13

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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.