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Finding the Third Proportional to 82,194.75 and 120,700.13

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Solution

The third proportional to 82,194.75 and 120,700.13 is: 177,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,194.75 : 120,700.13 = 120,700.13 : x
  2. Step 2: Convert to fraction form
    82,194.75/120,700.13 = 120,700.13/x
  3. Step 3: Cross multiply
    82,194.75x = 120,700.13 × 120,700.13
  4. Step 4: Simplify right side
    82,194.75x = 14,568,520,175.02
  5. Step 5: Solve for x
    x = 14,568,520,175.02/82,194.75
  6. Step 6: Final answer
    x = 177,243.93

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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.