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Finding the Third Proportional to 51,635 and 109,463

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Solution

The third proportional to 51,635 and 109,463 is: 232,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,635 : 109,463 = 109,463 : x
  2. Step 2: Convert to fraction form
    51,635/109,463 = 109,463/x
  3. Step 3: Cross multiply
    51,635x = 109,463 × 109,463
  4. Step 4: Simplify right side
    51,635x = 11,982,148,369
  5. Step 5: Solve for x
    x = 11,982,148,369/51,635
  6. Step 6: Final answer
    x = 232,054.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.