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Finding the Third Proportional to 33,090 and 72,708

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Solution

The third proportional to 33,090 and 72,708 is: 159,759.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090 : 72,708 = 72,708 : x
  2. Step 2: Convert to fraction form
    33,090/72,708 = 72,708/x
  3. Step 3: Cross multiply
    33,090x = 72,708 × 72,708
  4. Step 4: Simplify right side
    33,090x = 5,286,453,264
  5. Step 5: Solve for x
    x = 5,286,453,264/33,090
  6. Step 6: Final answer
    x = 159,759.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.