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Finding the Third Proportional to 95,403 and 140,189

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Solution

The third proportional to 95,403 and 140,189 is: 205,999.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,403 : 140,189 = 140,189 : x
  2. Step 2: Convert to fraction form
    95,403/140,189 = 140,189/x
  3. Step 3: Cross multiply
    95,403x = 140,189 × 140,189
  4. Step 4: Simplify right side
    95,403x = 19,652,955,721
  5. Step 5: Solve for x
    x = 19,652,955,721/95,403
  6. Step 6: Final answer
    x = 205,999.35

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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.