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Finding the Third Proportional to 43,134 and 66,954

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Solution

The third proportional to 43,134 and 66,954 is: 103,928.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,134 : 66,954 = 66,954 : x
  2. Step 2: Convert to fraction form
    43,134/66,954 = 66,954/x
  3. Step 3: Cross multiply
    43,134x = 66,954 × 66,954
  4. Step 4: Simplify right side
    43,134x = 4,482,838,116
  5. Step 5: Solve for x
    x = 4,482,838,116/43,134
  6. Step 6: Final answer
    x = 103,928.18

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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.