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Finding the Third Proportional to 51,864 and 113,814

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Solution

The third proportional to 51,864 and 113,814 is: 249,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,864 : 113,814 = 113,814 : x
  2. Step 2: Convert to fraction form
    51,864/113,814 = 113,814/x
  3. Step 3: Cross multiply
    51,864x = 113,814 × 113,814
  4. Step 4: Simplify right side
    51,864x = 12,953,626,596
  5. Step 5: Solve for x
    x = 12,953,626,596/51,864
  6. Step 6: Final answer
    x = 249,761.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.