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Finding the Third Proportional to 51,626 and 109,453

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Solution

The third proportional to 51,626 and 109,453 is: 232,052.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,626 : 109,453 = 109,453 : x
  2. Step 2: Convert to fraction form
    51,626/109,453 = 109,453/x
  3. Step 3: Cross multiply
    51,626x = 109,453 × 109,453
  4. Step 4: Simplify right side
    51,626x = 11,979,959,209
  5. Step 5: Solve for x
    x = 11,979,959,209/51,626
  6. Step 6: Final answer
    x = 232,052.83

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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.