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Finding the Third Proportional to 48,540 and 75,401

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Solution

The third proportional to 48,540 and 75,401 is: 117,126.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,540 : 75,401 = 75,401 : x
  2. Step 2: Convert to fraction form
    48,540/75,401 = 75,401/x
  3. Step 3: Cross multiply
    48,540x = 75,401 × 75,401
  4. Step 4: Simplify right side
    48,540x = 5,685,310,801
  5. Step 5: Solve for x
    x = 5,685,310,801/48,540
  6. Step 6: Final answer
    x = 117,126.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.