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Finding the Third Proportional to 111,702 and 146,817

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Solution

The third proportional to 111,702 and 146,817 is: 192,970.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,702 : 146,817 = 146,817 : x
  2. Step 2: Convert to fraction form
    111,702/146,817 = 146,817/x
  3. Step 3: Cross multiply
    111,702x = 146,817 × 146,817
  4. Step 4: Simplify right side
    111,702x = 21,555,231,489
  5. Step 5: Solve for x
    x = 21,555,231,489/111,702
  6. Step 6: Final answer
    x = 192,970.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.