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Finding the Third Proportional to 95,539.50 and 140,211

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Solution

The third proportional to 95,539.50 and 140,211 is: 205,769.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,539.50 : 140,211 = 140,211 : x
  2. Step 2: Convert to fraction form
    95,539.50/140,211 = 140,211/x
  3. Step 3: Cross multiply
    95,539.50x = 140,211 × 140,211
  4. Step 4: Simplify right side
    95,539.50x = 19,659,124,521
  5. Step 5: Solve for x
    x = 19,659,124,521/95,539.50
  6. Step 6: Final answer
    x = 205,769.60

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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.