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Finding the Third Proportional to 33,368 and 73,360

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Solution

The third proportional to 33,368 and 73,360 is: 161,282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,368 : 73,360 = 73,360 : x
  2. Step 2: Convert to fraction form
    33,368/73,360 = 73,360/x
  3. Step 3: Cross multiply
    33,368x = 73,360 × 73,360
  4. Step 4: Simplify right side
    33,368x = 5,381,689,600
  5. Step 5: Solve for x
    x = 5,381,689,600/33,368
  6. Step 6: Final answer
    x = 161,282.95

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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.