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Finding the Third Proportional to 36,390 and 78,096

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Solution

The third proportional to 36,390 and 78,096 is: 167,600.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,390 : 78,096 = 78,096 : x
  2. Step 2: Convert to fraction form
    36,390/78,096 = 78,096/x
  3. Step 3: Cross multiply
    36,390x = 78,096 × 78,096
  4. Step 4: Simplify right side
    36,390x = 6,098,985,216
  5. Step 5: Solve for x
    x = 6,098,985,216/36,390
  6. Step 6: Final answer
    x = 167,600.58

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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.