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Finding the Third Proportional to 71,146.50 and 95,166

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Solution

The third proportional to 71,146.50 and 95,166 is: 127,294.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,146.50 : 95,166 = 95,166 : x
  2. Step 2: Convert to fraction form
    71,146.50/95,166 = 95,166/x
  3. Step 3: Cross multiply
    71,146.50x = 95,166 × 95,166
  4. Step 4: Simplify right side
    71,146.50x = 9,056,567,556
  5. Step 5: Solve for x
    x = 9,056,567,556/71,146.50
  6. Step 6: Final answer
    x = 127,294.63

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.