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Finding the Third Proportional to 116,372 and 251,115

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Solution

The third proportional to 116,372 and 251,115 is: 541,872.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,372 : 251,115 = 251,115 : x
  2. Step 2: Convert to fraction form
    116,372/251,115 = 251,115/x
  3. Step 3: Cross multiply
    116,372x = 251,115 × 251,115
  4. Step 4: Simplify right side
    116,372x = 63,058,743,225
  5. Step 5: Solve for x
    x = 63,058,743,225/116,372
  6. Step 6: Final answer
    x = 541,872.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.