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Finding the Third Proportional to 48,118 and 104,970

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Solution

The third proportional to 48,118 and 104,970 is: 228,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,118 : 104,970 = 104,970 : x
  2. Step 2: Convert to fraction form
    48,118/104,970 = 104,970/x
  3. Step 3: Cross multiply
    48,118x = 104,970 × 104,970
  4. Step 4: Simplify right side
    48,118x = 11,018,700,900
  5. Step 5: Solve for x
    x = 11,018,700,900/48,118
  6. Step 6: Final answer
    x = 228,993.33

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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.