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Finding the Third Proportional to 68,617.13 and 149,296.92

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Solution

The third proportional to 68,617.13 and 149,296.92 is: 324,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,617.13 : 149,296.92 = 149,296.92 : x
  2. Step 2: Convert to fraction form
    68,617.13/149,296.92 = 149,296.92/x
  3. Step 3: Cross multiply
    68,617.13x = 149,296.92 × 149,296.92
  4. Step 4: Simplify right side
    68,617.13x = 22,289,570,881.35
  5. Step 5: Solve for x
    x = 22,289,570,881.35/68,617.13
  6. Step 6: Final answer
    x = 324,839.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.