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Finding the Third Proportional to 67,983.19 and 149,425.88

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Solution

The third proportional to 67,983.19 and 149,425.88 is: 328,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,983.19 : 149,425.88 = 149,425.88 : x
  2. Step 2: Convert to fraction form
    67,983.19/149,425.88 = 149,425.88/x
  3. Step 3: Cross multiply
    67,983.19x = 149,425.88 × 149,425.88
  4. Step 4: Simplify right side
    67,983.19x = 22,328,092,119.52
  5. Step 5: Solve for x
    x = 22,328,092,119.52/67,983.19
  6. Step 6: Final answer
    x = 328,435.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.