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Finding the Third Proportional to 95,500 and 147,401

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Solution

The third proportional to 95,500 and 147,401 is: 227,508.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,500 : 147,401 = 147,401 : x
  2. Step 2: Convert to fraction form
    95,500/147,401 = 147,401/x
  3. Step 3: Cross multiply
    95,500x = 147,401 × 147,401
  4. Step 4: Simplify right side
    95,500x = 21,727,054,801
  5. Step 5: Solve for x
    x = 21,727,054,801/95,500
  6. Step 6: Final answer
    x = 227,508.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.