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Finding the Third Proportional to 51,328 and 111,424

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Solution

The third proportional to 51,328 and 111,424 is: 241,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328 : 111,424 = 111,424 : x
  2. Step 2: Convert to fraction form
    51,328/111,424 = 111,424/x
  3. Step 3: Cross multiply
    51,328x = 111,424 × 111,424
  4. Step 4: Simplify right side
    51,328x = 12,415,307,776
  5. Step 5: Solve for x
    x = 12,415,307,776/51,328
  6. Step 6: Final answer
    x = 241,881.78

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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.