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Finding the Third Proportional to 94,491 and 144,990

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Solution

The third proportional to 94,491 and 144,990 is: 222,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,491 : 144,990 = 144,990 : x
  2. Step 2: Convert to fraction form
    94,491/144,990 = 144,990/x
  3. Step 3: Cross multiply
    94,491x = 144,990 × 144,990
  4. Step 4: Simplify right side
    94,491x = 21,022,100,100
  5. Step 5: Solve for x
    x = 21,022,100,100/94,491
  6. Step 6: Final answer
    x = 222,477.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.