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Finding the Third Proportional to 66,861 and 103,667

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Solution

The third proportional to 66,861 and 103,667 is: 160,734.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,861 : 103,667 = 103,667 : x
  2. Step 2: Convert to fraction form
    66,861/103,667 = 103,667/x
  3. Step 3: Cross multiply
    66,861x = 103,667 × 103,667
  4. Step 4: Simplify right side
    66,861x = 10,746,846,889
  5. Step 5: Solve for x
    x = 10,746,846,889/66,861
  6. Step 6: Final answer
    x = 160,734.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.