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Finding the Third Proportional to 34,184 and 74,200

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Solution

The third proportional to 34,184 and 74,200 is: 161,058.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,184 : 74,200 = 74,200 : x
  2. Step 2: Convert to fraction form
    34,184/74,200 = 74,200/x
  3. Step 3: Cross multiply
    34,184x = 74,200 × 74,200
  4. Step 4: Simplify right side
    34,184x = 5,505,640,000
  5. Step 5: Solve for x
    x = 5,505,640,000/34,184
  6. Step 6: Final answer
    x = 161,058.97

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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.