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Finding the Third Proportional to 50,058 and 107,844

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Solution

The third proportional to 50,058 and 107,844 is: 232,337.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,058 : 107,844 = 107,844 : x
  2. Step 2: Convert to fraction form
    50,058/107,844 = 107,844/x
  3. Step 3: Cross multiply
    50,058x = 107,844 × 107,844
  4. Step 4: Simplify right side
    50,058x = 11,630,328,336
  5. Step 5: Solve for x
    x = 11,630,328,336/50,058
  6. Step 6: Final answer
    x = 232,337.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.