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Finding the Third Proportional to 36,205 and 76,780

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Solution

The third proportional to 36,205 and 76,780 is: 162,827.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,205 : 76,780 = 76,780 : x
  2. Step 2: Convert to fraction form
    36,205/76,780 = 76,780/x
  3. Step 3: Cross multiply
    36,205x = 76,780 × 76,780
  4. Step 4: Simplify right side
    36,205x = 5,895,168,400
  5. Step 5: Solve for x
    x = 5,895,168,400/36,205
  6. Step 6: Final answer
    x = 162,827.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.