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Finding the Third Proportional to 101,524 and 148,822

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Solution

The third proportional to 101,524 and 148,822 is: 218,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,524 : 148,822 = 148,822 : x
  2. Step 2: Convert to fraction form
    101,524/148,822 = 148,822/x
  3. Step 3: Cross multiply
    101,524x = 148,822 × 148,822
  4. Step 4: Simplify right side
    101,524x = 22,147,987,684
  5. Step 5: Solve for x
    x = 22,147,987,684/101,524
  6. Step 6: Final answer
    x = 218,155.19

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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.