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Finding the Third Proportional to 126,026 and 275,164

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Solution

The third proportional to 126,026 and 275,164 is: 600,790.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,026 : 275,164 = 275,164 : x
  2. Step 2: Convert to fraction form
    126,026/275,164 = 275,164/x
  3. Step 3: Cross multiply
    126,026x = 275,164 × 275,164
  4. Step 4: Simplify right side
    126,026x = 75,715,226,896
  5. Step 5: Solve for x
    x = 75,715,226,896/126,026
  6. Step 6: Final answer
    x = 600,790.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.