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Finding the Third Proportional to 67,726.69 and 148,299.19

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Solution

The third proportional to 67,726.69 and 148,299.19 is: 324,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,726.69 : 148,299.19 = 148,299.19 : x
  2. Step 2: Convert to fraction form
    67,726.69/148,299.19 = 148,299.19/x
  3. Step 3: Cross multiply
    67,726.69x = 148,299.19 × 148,299.19
  4. Step 4: Simplify right side
    67,726.69x = 21,992,649,013.16
  5. Step 5: Solve for x
    x = 21,992,649,013.16/67,726.69
  6. Step 6: Final answer
    x = 324,726.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.