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Finding the Third Proportional to 124,424 and 194,412

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Solution

The third proportional to 124,424 and 194,412 is: 303,767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,424 : 194,412 = 194,412 : x
  2. Step 2: Convert to fraction form
    124,424/194,412 = 194,412/x
  3. Step 3: Cross multiply
    124,424x = 194,412 × 194,412
  4. Step 4: Simplify right side
    124,424x = 37,796,025,744
  5. Step 5: Solve for x
    x = 37,796,025,744/124,424
  6. Step 6: Final answer
    x = 303,767.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.