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Finding the Third Proportional to 51,302 and 111,352

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Solution

The third proportional to 51,302 and 111,352 is: 241,691.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,302 : 111,352 = 111,352 : x
  2. Step 2: Convert to fraction form
    51,302/111,352 = 111,352/x
  3. Step 3: Cross multiply
    51,302x = 111,352 × 111,352
  4. Step 4: Simplify right side
    51,302x = 12,399,267,904
  5. Step 5: Solve for x
    x = 12,399,267,904/51,302
  6. Step 6: Final answer
    x = 241,691.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.