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Finding the Third Proportional to 95,416 and 140,207

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Solution

The third proportional to 95,416 and 140,207 is: 206,024.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,416 : 140,207 = 140,207 : x
  2. Step 2: Convert to fraction form
    95,416/140,207 = 140,207/x
  3. Step 3: Cross multiply
    95,416x = 140,207 × 140,207
  4. Step 4: Simplify right side
    95,416x = 19,658,002,849
  5. Step 5: Solve for x
    x = 19,658,002,849/95,416
  6. Step 6: Final answer
    x = 206,024.18

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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.