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Finding the Third Proportional to 112,058 and 239,092

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Solution

The third proportional to 112,058 and 239,092 is: 510,137.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,058 : 239,092 = 239,092 : x
  2. Step 2: Convert to fraction form
    112,058/239,092 = 239,092/x
  3. Step 3: Cross multiply
    112,058x = 239,092 × 239,092
  4. Step 4: Simplify right side
    112,058x = 57,164,984,464
  5. Step 5: Solve for x
    x = 57,164,984,464/112,058
  6. Step 6: Final answer
    x = 510,137.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.