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Finding the Third Proportional to 68,589.25 and 149,747

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Solution

The third proportional to 68,589.25 and 149,747 is: 326,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,589.25 : 149,747 = 149,747 : x
  2. Step 2: Convert to fraction form
    68,589.25/149,747 = 149,747/x
  3. Step 3: Cross multiply
    68,589.25x = 149,747 × 149,747
  4. Step 4: Simplify right side
    68,589.25x = 22,424,164,009
  5. Step 5: Solve for x
    x = 22,424,164,009/68,589.25
  6. Step 6: Final answer
    x = 326,934.09

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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.