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Finding the Third Proportional to 36,432 and 78,194

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Solution

The third proportional to 36,432 and 78,194 is: 167,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,432 : 78,194 = 78,194 : x
  2. Step 2: Convert to fraction form
    36,432/78,194 = 78,194/x
  3. Step 3: Cross multiply
    36,432x = 78,194 × 78,194
  4. Step 4: Simplify right side
    36,432x = 6,114,301,636
  5. Step 5: Solve for x
    x = 6,114,301,636/36,432
  6. Step 6: Final answer
    x = 167,827.78

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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.