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Finding the Third Proportional to 51,282 and 107,748

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Solution

The third proportional to 51,282 and 107,748 is: 226,388.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,282 : 107,748 = 107,748 : x
  2. Step 2: Convert to fraction form
    51,282/107,748 = 107,748/x
  3. Step 3: Cross multiply
    51,282x = 107,748 × 107,748
  4. Step 4: Simplify right side
    51,282x = 11,609,631,504
  5. Step 5: Solve for x
    x = 11,609,631,504/51,282
  6. Step 6: Final answer
    x = 226,388.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.