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Finding the Third Proportional to 51,920 and 106,432

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Solution

The third proportional to 51,920 and 106,432 is: 218,177.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,920 : 106,432 = 106,432 : x
  2. Step 2: Convert to fraction form
    51,920/106,432 = 106,432/x
  3. Step 3: Cross multiply
    51,920x = 106,432 × 106,432
  4. Step 4: Simplify right side
    51,920x = 11,327,770,624
  5. Step 5: Solve for x
    x = 11,327,770,624/51,920
  6. Step 6: Final answer
    x = 218,177.40

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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.