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Finding the Third Proportional to 66,664.13 and 123,871.13

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Solution

The third proportional to 66,664.13 and 123,871.13 is: 230,169.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,664.13 : 123,871.13 = 123,871.13 : x
  2. Step 2: Convert to fraction form
    66,664.13/123,871.13 = 123,871.13/x
  3. Step 3: Cross multiply
    66,664.13x = 123,871.13 × 123,871.13
  4. Step 4: Simplify right side
    66,664.13x = 15,344,055,608.77
  5. Step 5: Solve for x
    x = 15,344,055,608.77/66,664.13
  6. Step 6: Final answer
    x = 230,169.61

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.