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Finding the Third Proportional to 51,734 and 78,651

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Solution

The third proportional to 51,734 and 78,651 is: 119,572.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734 : 78,651 = 78,651 : x
  2. Step 2: Convert to fraction form
    51,734/78,651 = 78,651/x
  3. Step 3: Cross multiply
    51,734x = 78,651 × 78,651
  4. Step 4: Simplify right side
    51,734x = 6,185,979,801
  5. Step 5: Solve for x
    x = 6,185,979,801/51,734
  6. Step 6: Final answer
    x = 119,572.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.