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Finding the Third Proportional to 51,334 and 111,436

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Solution

The third proportional to 51,334 and 111,436 is: 241,905.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,334 : 111,436 = 111,436 : x
  2. Step 2: Convert to fraction form
    51,334/111,436 = 111,436/x
  3. Step 3: Cross multiply
    51,334x = 111,436 × 111,436
  4. Step 4: Simplify right side
    51,334x = 12,417,982,096
  5. Step 5: Solve for x
    x = 12,417,982,096/51,334
  6. Step 6: Final answer
    x = 241,905.60

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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.