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Finding the Third Proportional to 36,084 and 78,726

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Solution

The third proportional to 36,084 and 78,726 is: 171,759.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,084 : 78,726 = 78,726 : x
  2. Step 2: Convert to fraction form
    36,084/78,726 = 78,726/x
  3. Step 3: Cross multiply
    36,084x = 78,726 × 78,726
  4. Step 4: Simplify right side
    36,084x = 6,197,783,076
  5. Step 5: Solve for x
    x = 6,197,783,076/36,084
  6. Step 6: Final answer
    x = 171,759.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.