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Finding the Third Proportional to 34,118 and 74,793

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Solution

The third proportional to 34,118 and 74,793 is: 163,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118 : 74,793 = 74,793 : x
  2. Step 2: Convert to fraction form
    34,118/74,793 = 74,793/x
  3. Step 3: Cross multiply
    34,118x = 74,793 × 74,793
  4. Step 4: Simplify right side
    34,118x = 5,593,992,849
  5. Step 5: Solve for x
    x = 5,593,992,849/34,118
  6. Step 6: Final answer
    x = 163,960.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.