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Finding the Third Proportional to 51,474 and 77,211

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Solution

The third proportional to 51,474 and 77,211 is: 115,816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,474 : 77,211 = 77,211 : x
  2. Step 2: Convert to fraction form
    51,474/77,211 = 77,211/x
  3. Step 3: Cross multiply
    51,474x = 77,211 × 77,211
  4. Step 4: Simplify right side
    51,474x = 5,961,538,521
  5. Step 5: Solve for x
    x = 5,961,538,521/51,474
  6. Step 6: Final answer
    x = 115,816.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.