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Finding the Third Proportional to 51,554 and 108,640

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Solution

The third proportional to 51,554 and 108,640 is: 228,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,554 : 108,640 = 108,640 : x
  2. Step 2: Convert to fraction form
    51,554/108,640 = 108,640/x
  3. Step 3: Cross multiply
    51,554x = 108,640 × 108,640
  4. Step 4: Simplify right side
    51,554x = 11,802,649,600
  5. Step 5: Solve for x
    x = 11,802,649,600/51,554
  6. Step 6: Final answer
    x = 228,937.61

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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.