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Finding the Third Proportional to 101,524 and 148,820

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Solution

The third proportional to 101,524 and 148,820 is: 218,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524 : 148,820 = 148,820 : x
  2. Step 2: Convert to fraction form
    101,524/148,820 = 148,820/x
  3. Step 3: Cross multiply
    101,524x = 148,820 × 148,820
  4. Step 4: Simplify right side
    101,524x = 22,147,392,400
  5. Step 5: Solve for x
    x = 22,147,392,400/101,524
  6. Step 6: Final answer
    x = 218,149.33

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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.