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Finding the Third Proportional to 34,195 and 74,219

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Solution

The third proportional to 34,195 and 74,219 is: 161,089.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,195 : 74,219 = 74,219 : x
  2. Step 2: Convert to fraction form
    34,195/74,219 = 74,219/x
  3. Step 3: Cross multiply
    34,195x = 74,219 × 74,219
  4. Step 4: Simplify right side
    34,195x = 5,508,459,961
  5. Step 5: Solve for x
    x = 5,508,459,961/34,195
  6. Step 6: Final answer
    x = 161,089.63

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Why These Related Problems?

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