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Finding the Third Proportional to 39,186 and 76,401

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Solution

The third proportional to 39,186 and 76,401 is: 148,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,186 : 76,401 = 76,401 : x
  2. Step 2: Convert to fraction form
    39,186/76,401 = 76,401/x
  3. Step 3: Cross multiply
    39,186x = 76,401 × 76,401
  4. Step 4: Simplify right side
    39,186x = 5,837,112,801
  5. Step 5: Solve for x
    x = 5,837,112,801/39,186
  6. Step 6: Final answer
    x = 148,959.14

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.