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Finding the Third Proportional to 84,377.25 and 123,234.75

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Solution

The third proportional to 84,377.25 and 123,234.75 is: 179,986.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,377.25 : 123,234.75 = 123,234.75 : x
  2. Step 2: Convert to fraction form
    84,377.25/123,234.75 = 123,234.75/x
  3. Step 3: Cross multiply
    84,377.25x = 123,234.75 × 123,234.75
  4. Step 4: Simplify right side
    84,377.25x = 15,186,803,607.56
  5. Step 5: Solve for x
    x = 15,186,803,607.56/84,377.25
  6. Step 6: Final answer
    x = 179,986.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.