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Finding the Third Proportional to 123,003.81 and 200,854.13

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Solution

The third proportional to 123,003.81 and 200,854.13 is: 327,976.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,003.81 : 200,854.13 = 200,854.13 : x
  2. Step 2: Convert to fraction form
    123,003.81/200,854.13 = 200,854.13/x
  3. Step 3: Cross multiply
    123,003.81x = 200,854.13 × 200,854.13
  4. Step 4: Simplify right side
    123,003.81x = 40,342,379,529.52
  5. Step 5: Solve for x
    x = 40,342,379,529.52/123,003.81
  6. Step 6: Final answer
    x = 327,976.66

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.