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Finding the Third Proportional to 51,124 and 78,966

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Solution

The third proportional to 51,124 and 78,966 is: 121,970.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,124 : 78,966 = 78,966 : x
  2. Step 2: Convert to fraction form
    51,124/78,966 = 78,966/x
  3. Step 3: Cross multiply
    51,124x = 78,966 × 78,966
  4. Step 4: Simplify right side
    51,124x = 6,235,629,156
  5. Step 5: Solve for x
    x = 6,235,629,156/51,124
  6. Step 6: Final answer
    x = 121,970.68

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.