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Finding the Third Proportional to 51,661 and 109,523

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Solution

The third proportional to 51,661 and 109,523 is: 232,192.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,661 : 109,523 = 109,523 : x
  2. Step 2: Convert to fraction form
    51,661/109,523 = 109,523/x
  3. Step 3: Cross multiply
    51,661x = 109,523 × 109,523
  4. Step 4: Simplify right side
    51,661x = 11,995,287,529
  5. Step 5: Solve for x
    x = 11,995,287,529/51,661
  6. Step 6: Final answer
    x = 232,192.32

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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.