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Finding the Third Proportional to 126,004 and 203,022

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Solution

The third proportional to 126,004 and 203,022 is: 327,116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,004 : 203,022 = 203,022 : x
  2. Step 2: Convert to fraction form
    126,004/203,022 = 203,022/x
  3. Step 3: Cross multiply
    126,004x = 203,022 × 203,022
  4. Step 4: Simplify right side
    126,004x = 41,217,932,484
  5. Step 5: Solve for x
    x = 41,217,932,484/126,004
  6. Step 6: Final answer
    x = 327,116.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.