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Finding the Third Proportional to 90,702 and 140,790

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Solution

The third proportional to 90,702 and 140,790 is: 218,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,702 : 140,790 = 140,790 : x
  2. Step 2: Convert to fraction form
    90,702/140,790 = 140,790/x
  3. Step 3: Cross multiply
    90,702x = 140,790 × 140,790
  4. Step 4: Simplify right side
    90,702x = 19,821,824,100
  5. Step 5: Solve for x
    x = 19,821,824,100/90,702
  6. Step 6: Final answer
    x = 218,537.89

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.