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Finding the Third Proportional to 101,403 and 146,049

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Solution

The third proportional to 101,403 and 146,049 is: 210,351.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,403 : 146,049 = 146,049 : x
  2. Step 2: Convert to fraction form
    101,403/146,049 = 146,049/x
  3. Step 3: Cross multiply
    101,403x = 146,049 × 146,049
  4. Step 4: Simplify right side
    101,403x = 21,330,310,401
  5. Step 5: Solve for x
    x = 21,330,310,401/101,403
  6. Step 6: Final answer
    x = 210,351.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.