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Finding the Third Proportional to 51,498 and 112,836

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Solution

The third proportional to 51,498 and 112,836 is: 247,232.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,498 : 112,836 = 112,836 : x
  2. Step 2: Convert to fraction form
    51,498/112,836 = 112,836/x
  3. Step 3: Cross multiply
    51,498x = 112,836 × 112,836
  4. Step 4: Simplify right side
    51,498x = 12,731,962,896
  5. Step 5: Solve for x
    x = 12,731,962,896/51,498
  6. Step 6: Final answer
    x = 247,232.18

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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.