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Finding the Third Proportional to 51,306.75 and 110,727

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Solution

The third proportional to 51,306.75 and 110,727 is: 238,964.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306.75 : 110,727 = 110,727 : x
  2. Step 2: Convert to fraction form
    51,306.75/110,727 = 110,727/x
  3. Step 3: Cross multiply
    51,306.75x = 110,727 × 110,727
  4. Step 4: Simplify right side
    51,306.75x = 12,260,468,529
  5. Step 5: Solve for x
    x = 12,260,468,529/51,306.75
  6. Step 6: Final answer
    x = 238,964.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.