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Finding the Third Proportional to 100,595 and 140,974

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Solution

The third proportional to 100,595 and 140,974 is: 197,561.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,595 : 140,974 = 140,974 : x
  2. Step 2: Convert to fraction form
    100,595/140,974 = 140,974/x
  3. Step 3: Cross multiply
    100,595x = 140,974 × 140,974
  4. Step 4: Simplify right side
    100,595x = 19,873,668,676
  5. Step 5: Solve for x
    x = 19,873,668,676/100,595
  6. Step 6: Final answer
    x = 197,561.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.