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Finding the Third Proportional to 48,118 and 107,172

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Solution

The third proportional to 48,118 and 107,172 is: 238,701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,118 : 107,172 = 107,172 : x
  2. Step 2: Convert to fraction form
    48,118/107,172 = 107,172/x
  3. Step 3: Cross multiply
    48,118x = 107,172 × 107,172
  4. Step 4: Simplify right side
    48,118x = 11,485,837,584
  5. Step 5: Solve for x
    x = 11,485,837,584/48,118
  6. Step 6: Final answer
    x = 238,701.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.