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Finding the Third Proportional to 68,799.38 and 106,331.48

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Solution

The third proportional to 68,799.38 and 106,331.48 is: 164,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,799.38 : 106,331.48 = 106,331.48 : x
  2. Step 2: Convert to fraction form
    68,799.38/106,331.48 = 106,331.48/x
  3. Step 3: Cross multiply
    68,799.38x = 106,331.48 × 106,331.48
  4. Step 4: Simplify right side
    68,799.38x = 11,306,384,569.39
  5. Step 5: Solve for x
    x = 11,306,384,569.39/68,799.38
  6. Step 6: Final answer
    x = 164,338.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.