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Finding the Third Proportional to 52,311 and 107,376

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Solution

The third proportional to 52,311 and 107,376 is: 220,404.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,311 : 107,376 = 107,376 : x
  2. Step 2: Convert to fraction form
    52,311/107,376 = 107,376/x
  3. Step 3: Cross multiply
    52,311x = 107,376 × 107,376
  4. Step 4: Simplify right side
    52,311x = 11,529,605,376
  5. Step 5: Solve for x
    x = 11,529,605,376/52,311
  6. Step 6: Final answer
    x = 220,404.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.