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Finding the Third Proportional to 100,574.75 and 149,121.38

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Solution

The third proportional to 100,574.75 and 149,121.38 is: 221,101.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,574.75 : 149,121.38 = 149,121.38 : x
  2. Step 2: Convert to fraction form
    100,574.75/149,121.38 = 149,121.38/x
  3. Step 3: Cross multiply
    100,574.75x = 149,121.38 × 149,121.38
  4. Step 4: Simplify right side
    100,574.75x = 22,237,184,481.89
  5. Step 5: Solve for x
    x = 22,237,184,481.89/100,574.75
  6. Step 6: Final answer
    x = 221,101.07

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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.