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Finding the Third Proportional to 100,826 and 148,939

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Solution

The third proportional to 100,826 and 148,939 is: 220,010.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,826 : 148,939 = 148,939 : x
  2. Step 2: Convert to fraction form
    100,826/148,939 = 148,939/x
  3. Step 3: Cross multiply
    100,826x = 148,939 × 148,939
  4. Step 4: Simplify right side
    100,826x = 22,182,825,721
  5. Step 5: Solve for x
    x = 22,182,825,721/100,826
  6. Step 6: Final answer
    x = 220,010.97

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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.