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Finding the Third Proportional to 48,702 and 104,991

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Solution

The third proportional to 48,702 and 104,991 is: 226,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,702 : 104,991 = 104,991 : x
  2. Step 2: Convert to fraction form
    48,702/104,991 = 104,991/x
  3. Step 3: Cross multiply
    48,702x = 104,991 × 104,991
  4. Step 4: Simplify right side
    48,702x = 11,023,110,081
  5. Step 5: Solve for x
    x = 11,023,110,081/48,702
  6. Step 6: Final answer
    x = 226,337.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.