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Finding the Third Proportional to 36,474 and 78,001

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Solution

The third proportional to 36,474 and 78,001 is: 166,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,474 : 78,001 = 78,001 : x
  2. Step 2: Convert to fraction form
    36,474/78,001 = 78,001/x
  3. Step 3: Cross multiply
    36,474x = 78,001 × 78,001
  4. Step 4: Simplify right side
    36,474x = 6,084,156,001
  5. Step 5: Solve for x
    x = 6,084,156,001/36,474
  6. Step 6: Final answer
    x = 166,808.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.