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Finding the Third Proportional to 51,884 and 81,068

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Solution

The third proportional to 51,884 and 81,068 is: 126,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,884 : 81,068 = 81,068 : x
  2. Step 2: Convert to fraction form
    51,884/81,068 = 81,068/x
  3. Step 3: Cross multiply
    51,884x = 81,068 × 81,068
  4. Step 4: Simplify right side
    51,884x = 6,572,020,624
  5. Step 5: Solve for x
    x = 6,572,020,624/51,884
  6. Step 6: Final answer
    x = 126,667.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.