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Finding the Third Proportional to 43,150 and 94,972

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Solution

The third proportional to 43,150 and 94,972 is: 209,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,150 : 94,972 = 94,972 : x
  2. Step 2: Convert to fraction form
    43,150/94,972 = 94,972/x
  3. Step 3: Cross multiply
    43,150x = 94,972 × 94,972
  4. Step 4: Simplify right side
    43,150x = 9,019,680,784
  5. Step 5: Solve for x
    x = 9,019,680,784/43,150
  6. Step 6: Final answer
    x = 209,030.84

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.