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Finding the Third Proportional to 95,041.69 and 132,874.31

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Solution

The third proportional to 95,041.69 and 132,874.31 is: 185,766.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,041.69 : 132,874.31 = 132,874.31 : x
  2. Step 2: Convert to fraction form
    95,041.69/132,874.31 = 132,874.31/x
  3. Step 3: Cross multiply
    95,041.69x = 132,874.31 × 132,874.31
  4. Step 4: Simplify right side
    95,041.69x = 17,655,582,922.35
  5. Step 5: Solve for x
    x = 17,655,582,922.35/95,041.69
  6. Step 6: Final answer
    x = 185,766.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.