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Finding the Third Proportional to 51,512 and 111,708

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Solution

The third proportional to 51,512 and 111,708 is: 242,247.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512 : 111,708 = 111,708 : x
  2. Step 2: Convert to fraction form
    51,512/111,708 = 111,708/x
  3. Step 3: Cross multiply
    51,512x = 111,708 × 111,708
  4. Step 4: Simplify right side
    51,512x = 12,478,677,264
  5. Step 5: Solve for x
    x = 12,478,677,264/51,512
  6. Step 6: Final answer
    x = 242,247.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.