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Finding the Third Proportional to 101,512 and 148,950

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Solution

The third proportional to 101,512 and 148,950 is: 218,556.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,512 : 148,950 = 148,950 : x
  2. Step 2: Convert to fraction form
    101,512/148,950 = 148,950/x
  3. Step 3: Cross multiply
    101,512x = 148,950 × 148,950
  4. Step 4: Simplify right side
    101,512x = 22,186,102,500
  5. Step 5: Solve for x
    x = 22,186,102,500/101,512
  6. Step 6: Final answer
    x = 218,556.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.