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Finding the Third Proportional to 51,540 and 108,612

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Solution

The third proportional to 51,540 and 108,612 is: 228,881.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540 : 108,612 = 108,612 : x
  2. Step 2: Convert to fraction form
    51,540/108,612 = 108,612/x
  3. Step 3: Cross multiply
    51,540x = 108,612 × 108,612
  4. Step 4: Simplify right side
    51,540x = 11,796,566,544
  5. Step 5: Solve for x
    x = 11,796,566,544/51,540
  6. Step 6: Final answer
    x = 228,881.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.