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Finding the Third Proportional to 51,363 and 112,794

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Solution

The third proportional to 51,363 and 112,794 is: 247,697.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,363 : 112,794 = 112,794 : x
  2. Step 2: Convert to fraction form
    51,363/112,794 = 112,794/x
  3. Step 3: Cross multiply
    51,363x = 112,794 × 112,794
  4. Step 4: Simplify right side
    51,363x = 12,722,486,436
  5. Step 5: Solve for x
    x = 12,722,486,436/51,363
  6. Step 6: Final answer
    x = 247,697.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.