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Finding the Third Proportional to 95,341 and 140,257.50

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Solution

The third proportional to 95,341 and 140,257.50 is: 206,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,341 : 140,257.50 = 140,257.50 : x
  2. Step 2: Convert to fraction form
    95,341/140,257.50 = 140,257.50/x
  3. Step 3: Cross multiply
    95,341x = 140,257.50 × 140,257.50
  4. Step 4: Simplify right side
    95,341x = 19,672,166,306.25
  5. Step 5: Solve for x
    x = 19,672,166,306.25/95,341
  6. Step 6: Final answer
    x = 206,334.80

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.