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Finding the Third Proportional to 33,354 and 72,540

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Solution

The third proportional to 33,354 and 72,540 is: 157,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,354 : 72,540 = 72,540 : x
  2. Step 2: Convert to fraction form
    33,354/72,540 = 72,540/x
  3. Step 3: Cross multiply
    33,354x = 72,540 × 72,540
  4. Step 4: Simplify right side
    33,354x = 5,262,051,600
  5. Step 5: Solve for x
    x = 5,262,051,600/33,354
  6. Step 6: Final answer
    x = 157,763.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.