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Finding the Third Proportional to 95,337 and 140,085

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Solution

The third proportional to 95,337 and 140,085 is: 205,836.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,337 : 140,085 = 140,085 : x
  2. Step 2: Convert to fraction form
    95,337/140,085 = 140,085/x
  3. Step 3: Cross multiply
    95,337x = 140,085 × 140,085
  4. Step 4: Simplify right side
    95,337x = 19,623,807,225
  5. Step 5: Solve for x
    x = 19,623,807,225/95,337
  6. Step 6: Final answer
    x = 205,836.21

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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.