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Finding the Third Proportional to 51,825 and 110,757

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Solution

The third proportional to 51,825 and 110,757 is: 236,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,825 : 110,757 = 110,757 : x
  2. Step 2: Convert to fraction form
    51,825/110,757 = 110,757/x
  3. Step 3: Cross multiply
    51,825x = 110,757 × 110,757
  4. Step 4: Simplify right side
    51,825x = 12,267,113,049
  5. Step 5: Solve for x
    x = 12,267,113,049/51,825
  6. Step 6: Final answer
    x = 236,702.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.