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Finding the Third Proportional to 51,432 and 112,218

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Solution

The third proportional to 51,432 and 112,218 is: 244,845.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,432 : 112,218 = 112,218 : x
  2. Step 2: Convert to fraction form
    51,432/112,218 = 112,218/x
  3. Step 3: Cross multiply
    51,432x = 112,218 × 112,218
  4. Step 4: Simplify right side
    51,432x = 12,592,879,524
  5. Step 5: Solve for x
    x = 12,592,879,524/51,432
  6. Step 6: Final answer
    x = 244,845.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.