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Finding the Third Proportional to 100,822 and 148,927

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Solution

The third proportional to 100,822 and 148,927 is: 219,984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,822 : 148,927 = 148,927 : x
  2. Step 2: Convert to fraction form
    100,822/148,927 = 148,927/x
  3. Step 3: Cross multiply
    100,822x = 148,927 × 148,927
  4. Step 4: Simplify right side
    100,822x = 22,179,251,329
  5. Step 5: Solve for x
    x = 22,179,251,329/100,822
  6. Step 6: Final answer
    x = 219,984.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.