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Finding the Third Proportional to 65,761.88 and 96,182.44

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Solution

The third proportional to 65,761.88 and 96,182.44 is: 140,675.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,761.88 : 96,182.44 = 96,182.44 : x
  2. Step 2: Convert to fraction form
    65,761.88/96,182.44 = 96,182.44/x
  3. Step 3: Cross multiply
    65,761.88x = 96,182.44 × 96,182.44
  4. Step 4: Simplify right side
    65,761.88x = 9,251,061,283.44
  5. Step 5: Solve for x
    x = 9,251,061,283.44/65,761.88
  6. Step 6: Final answer
    x = 140,675.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.