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Finding the Third Proportional to 51,566 and 108,660

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Solution

The third proportional to 51,566 and 108,660 is: 228,968.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,566 : 108,660 = 108,660 : x
  2. Step 2: Convert to fraction form
    51,566/108,660 = 108,660/x
  3. Step 3: Cross multiply
    51,566x = 108,660 × 108,660
  4. Step 4: Simplify right side
    51,566x = 11,806,995,600
  5. Step 5: Solve for x
    x = 11,806,995,600/51,566
  6. Step 6: Final answer
    x = 228,968.61

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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.