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Finding the Third Proportional to 51,525 and 112,902

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Solution

The third proportional to 51,525 and 112,902 is: 247,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,525 : 112,902 = 112,902 : x
  2. Step 2: Convert to fraction form
    51,525/112,902 = 112,902/x
  3. Step 3: Cross multiply
    51,525x = 112,902 × 112,902
  4. Step 4: Simplify right side
    51,525x = 12,746,861,604
  5. Step 5: Solve for x
    x = 12,746,861,604/51,525
  6. Step 6: Final answer
    x = 247,391.78

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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.