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Finding the Third Proportional to 65,927 and 89,818

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Solution

The third proportional to 65,927 and 89,818 is: 122,366.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,927 : 89,818 = 89,818 : x
  2. Step 2: Convert to fraction form
    65,927/89,818 = 89,818/x
  3. Step 3: Cross multiply
    65,927x = 89,818 × 89,818
  4. Step 4: Simplify right side
    65,927x = 8,067,273,124
  5. Step 5: Solve for x
    x = 8,067,273,124/65,927
  6. Step 6: Final answer
    x = 122,366.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.