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Finding the Third Proportional to 51,300 and 107,424

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Solution

The third proportional to 51,300 and 107,424 is: 224,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,300 : 107,424 = 107,424 : x
  2. Step 2: Convert to fraction form
    51,300/107,424 = 107,424/x
  3. Step 3: Cross multiply
    51,300x = 107,424 × 107,424
  4. Step 4: Simplify right side
    51,300x = 11,539,915,776
  5. Step 5: Solve for x
    x = 11,539,915,776/51,300
  6. Step 6: Final answer
    x = 224,949.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.