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Finding the Third Proportional to 116,058 and 250,962

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Solution

The third proportional to 116,058 and 250,962 is: 542,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,058 : 250,962 = 250,962 : x
  2. Step 2: Convert to fraction form
    116,058/250,962 = 250,962/x
  3. Step 3: Cross multiply
    116,058x = 250,962 × 250,962
  4. Step 4: Simplify right side
    116,058x = 62,981,925,444
  5. Step 5: Solve for x
    x = 62,981,925,444/116,058
  6. Step 6: Final answer
    x = 542,676.29

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