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Finding the Third Proportional to 51,132 and 111,561

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Solution

The third proportional to 51,132 and 111,561 is: 243,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,132 : 111,561 = 111,561 : x
  2. Step 2: Convert to fraction form
    51,132/111,561 = 111,561/x
  3. Step 3: Cross multiply
    51,132x = 111,561 × 111,561
  4. Step 4: Simplify right side
    51,132x = 12,445,856,721
  5. Step 5: Solve for x
    x = 12,445,856,721/51,132
  6. Step 6: Final answer
    x = 243,406.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.