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Finding the Third Proportional to 126,174 and 275,964

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Solution

The third proportional to 126,174 and 275,964 is: 603,580.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,174 : 275,964 = 275,964 : x
  2. Step 2: Convert to fraction form
    126,174/275,964 = 275,964/x
  3. Step 3: Cross multiply
    126,174x = 275,964 × 275,964
  4. Step 4: Simplify right side
    126,174x = 76,156,129,296
  5. Step 5: Solve for x
    x = 76,156,129,296/126,174
  6. Step 6: Final answer
    x = 603,580.21

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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.