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Finding the Third Proportional to 105,876 and 220,464

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Solution

The third proportional to 105,876 and 220,464 is: 459,068.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 220,464 = 220,464 : x
  2. Step 2: Convert to fraction form
    105,876/220,464 = 220,464/x
  3. Step 3: Cross multiply
    105,876x = 220,464 × 220,464
  4. Step 4: Simplify right side
    105,876x = 48,604,375,296
  5. Step 5: Solve for x
    x = 48,604,375,296/105,876
  6. Step 6: Final answer
    x = 459,068.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.