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Finding the Third Proportional to 68,077.13 and 149,593.50

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Solution

The third proportional to 68,077.13 and 149,593.50 is: 328,718.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,077.13 : 149,593.50 = 149,593.50 : x
  2. Step 2: Convert to fraction form
    68,077.13/149,593.50 = 149,593.50/x
  3. Step 3: Cross multiply
    68,077.13x = 149,593.50 × 149,593.50
  4. Step 4: Simplify right side
    68,077.13x = 22,378,215,242.25
  5. Step 5: Solve for x
    x = 22,378,215,242.25/68,077.13
  6. Step 6: Final answer
    x = 328,718.57

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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.