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Finding the Third Proportional to 126,166 and 275,948

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Solution

The third proportional to 126,166 and 275,948 is: 603,548.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,166 : 275,948 = 275,948 : x
  2. Step 2: Convert to fraction form
    126,166/275,948 = 275,948/x
  3. Step 3: Cross multiply
    126,166x = 275,948 × 275,948
  4. Step 4: Simplify right side
    126,166x = 76,147,298,704
  5. Step 5: Solve for x
    x = 76,147,298,704/126,166
  6. Step 6: Final answer
    x = 603,548.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.