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Finding the Third Proportional to 119,174 and 261,108

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Solution

The third proportional to 119,174 and 261,108 is: 572,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,174 : 261,108 = 261,108 : x
  2. Step 2: Convert to fraction form
    119,174/261,108 = 261,108/x
  3. Step 3: Cross multiply
    119,174x = 261,108 × 261,108
  4. Step 4: Simplify right side
    119,174x = 68,177,387,664
  5. Step 5: Solve for x
    x = 68,177,387,664/119,174
  6. Step 6: Final answer
    x = 572,082.73

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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.