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Finding the Third Proportional to 51,228 and 79,114

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Solution

The third proportional to 51,228 and 79,114 is: 122,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228 : 79,114 = 79,114 : x
  2. Step 2: Convert to fraction form
    51,228/79,114 = 79,114/x
  3. Step 3: Cross multiply
    51,228x = 79,114 × 79,114
  4. Step 4: Simplify right side
    51,228x = 6,259,024,996
  5. Step 5: Solve for x
    x = 6,259,024,996/51,228
  6. Step 6: Final answer
    x = 122,179.76

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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.