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Finding the Third Proportional to 117,092 and 251,935

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Solution

The third proportional to 117,092 and 251,935 is: 542,063.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,092 : 251,935 = 251,935 : x
  2. Step 2: Convert to fraction form
    117,092/251,935 = 251,935/x
  3. Step 3: Cross multiply
    117,092x = 251,935 × 251,935
  4. Step 4: Simplify right side
    117,092x = 63,471,244,225
  5. Step 5: Solve for x
    x = 63,471,244,225/117,092
  6. Step 6: Final answer
    x = 542,063.03

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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.