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Finding the Third Proportional to 51,764 and 113,248

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Solution

The third proportional to 51,764 and 113,248 is: 247,761.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764 : 113,248 = 113,248 : x
  2. Step 2: Convert to fraction form
    51,764/113,248 = 113,248/x
  3. Step 3: Cross multiply
    51,764x = 113,248 × 113,248
  4. Step 4: Simplify right side
    51,764x = 12,825,109,504
  5. Step 5: Solve for x
    x = 12,825,109,504/51,764
  6. Step 6: Final answer
    x = 247,761.18

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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.