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Finding the Third Proportional to 107,494 and 251,015

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Solution

The third proportional to 107,494 and 251,015 is: 586,158.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,494 : 251,015 = 251,015 : x
  2. Step 2: Convert to fraction form
    107,494/251,015 = 251,015/x
  3. Step 3: Cross multiply
    107,494x = 251,015 × 251,015
  4. Step 4: Simplify right side
    107,494x = 63,008,530,225
  5. Step 5: Solve for x
    x = 63,008,530,225/107,494
  6. Step 6: Final answer
    x = 586,158.58

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.