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Finding the Third Proportional to 36,325 and 78,217

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Solution

The third proportional to 36,325 and 78,217 is: 168,421.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,325 : 78,217 = 78,217 : x
  2. Step 2: Convert to fraction form
    36,325/78,217 = 78,217/x
  3. Step 3: Cross multiply
    36,325x = 78,217 × 78,217
  4. Step 4: Simplify right side
    36,325x = 6,117,899,089
  5. Step 5: Solve for x
    x = 6,117,899,089/36,325
  6. Step 6: Final answer
    x = 168,421.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.