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Finding the Third Proportional to 51,624 and 79,452

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Solution

The third proportional to 51,624 and 79,452 is: 122,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,624 : 79,452 = 79,452 : x
  2. Step 2: Convert to fraction form
    51,624/79,452 = 79,452/x
  3. Step 3: Cross multiply
    51,624x = 79,452 × 79,452
  4. Step 4: Simplify right side
    51,624x = 6,312,620,304
  5. Step 5: Solve for x
    x = 6,312,620,304/51,624
  6. Step 6: Final answer
    x = 122,280.73

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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.