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Finding the Third Proportional to 33,094 and 72,716

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Solution

The third proportional to 33,094 and 72,716 is: 159,775.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094 : 72,716 = 72,716 : x
  2. Step 2: Convert to fraction form
    33,094/72,716 = 72,716/x
  3. Step 3: Cross multiply
    33,094x = 72,716 × 72,716
  4. Step 4: Simplify right side
    33,094x = 5,287,616,656
  5. Step 5: Solve for x
    x = 5,287,616,656/33,094
  6. Step 6: Final answer
    x = 159,775.69

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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.