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Finding the Third Proportional to 66,972 and 103,782

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Solution

The third proportional to 66,972 and 103,782 is: 160,823.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,972 : 103,782 = 103,782 : x
  2. Step 2: Convert to fraction form
    66,972/103,782 = 103,782/x
  3. Step 3: Cross multiply
    66,972x = 103,782 × 103,782
  4. Step 4: Simplify right side
    66,972x = 10,770,703,524
  5. Step 5: Solve for x
    x = 10,770,703,524/66,972
  6. Step 6: Final answer
    x = 160,823.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.