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Finding the Third Proportional to 66,947 and 103,662

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Solution

The third proportional to 66,947 and 103,662 is: 160,512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,947 : 103,662 = 103,662 : x
  2. Step 2: Convert to fraction form
    66,947/103,662 = 103,662/x
  3. Step 3: Cross multiply
    66,947x = 103,662 × 103,662
  4. Step 4: Simplify right side
    66,947x = 10,745,810,244
  5. Step 5: Solve for x
    x = 10,745,810,244/66,947
  6. Step 6: Final answer
    x = 160,512.20

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