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Finding the Third Proportional to 36,217 and 78,670

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Solution

The third proportional to 36,217 and 78,670 is: 170,885.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,217 : 78,670 = 78,670 : x
  2. Step 2: Convert to fraction form
    36,217/78,670 = 78,670/x
  3. Step 3: Cross multiply
    36,217x = 78,670 × 78,670
  4. Step 4: Simplify right side
    36,217x = 6,188,968,900
  5. Step 5: Solve for x
    x = 6,188,968,900/36,217
  6. Step 6: Final answer
    x = 170,885.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.