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Finding the Third Proportional to 51,834 and 82,518

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Solution

The third proportional to 51,834 and 82,518 is: 131,365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,834 : 82,518 = 82,518 : x
  2. Step 2: Convert to fraction form
    51,834/82,518 = 82,518/x
  3. Step 3: Cross multiply
    51,834x = 82,518 × 82,518
  4. Step 4: Simplify right side
    51,834x = 6,809,220,324
  5. Step 5: Solve for x
    x = 6,809,220,324/51,834
  6. Step 6: Final answer
    x = 131,365.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.