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Finding the Third Proportional to 68,920.88 and 185,500.13

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Solution

The third proportional to 68,920.88 and 185,500.13 is: 499,272.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,920.88 : 185,500.13 = 185,500.13 : x
  2. Step 2: Convert to fraction form
    68,920.88/185,500.13 = 185,500.13/x
  3. Step 3: Cross multiply
    68,920.88x = 185,500.13 × 185,500.13
  4. Step 4: Simplify right side
    68,920.88x = 34,410,296,375.02
  5. Step 5: Solve for x
    x = 34,410,296,375.02/68,920.88
  6. Step 6: Final answer
    x = 499,272.48

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.