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Finding the Third Proportional to 48,118 and 104,971

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Solution

The third proportional to 48,118 and 104,971 is: 228,997.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,118 : 104,971 = 104,971 : x
  2. Step 2: Convert to fraction form
    48,118/104,971 = 104,971/x
  3. Step 3: Cross multiply
    48,118x = 104,971 × 104,971
  4. Step 4: Simplify right side
    48,118x = 11,018,910,841
  5. Step 5: Solve for x
    x = 11,018,910,841/48,118
  6. Step 6: Final answer
    x = 228,997.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.