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Finding the Third Proportional to 66,878 and 103,884

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Solution

The third proportional to 66,878 and 103,884 is: 161,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,878 : 103,884 = 103,884 : x
  2. Step 2: Convert to fraction form
    66,878/103,884 = 103,884/x
  3. Step 3: Cross multiply
    66,878x = 103,884 × 103,884
  4. Step 4: Simplify right side
    66,878x = 10,791,885,456
  5. Step 5: Solve for x
    x = 10,791,885,456/66,878
  6. Step 6: Final answer
    x = 161,366.75

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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.