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Finding the Third Proportional to 82,198.13 and 124,183.13

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Solution

The third proportional to 82,198.13 and 124,183.13 is: 187,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,198.13 : 124,183.13 = 124,183.13 : x
  2. Step 2: Convert to fraction form
    82,198.13/124,183.13 = 124,183.13/x
  3. Step 3: Cross multiply
    82,198.13x = 124,183.13 × 124,183.13
  4. Step 4: Simplify right side
    82,198.13x = 15,421,448,534.77
  5. Step 5: Solve for x
    x = 15,421,448,534.77/82,198.13
  6. Step 6: Final answer
    x = 187,613.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.