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Finding the Third Proportional to 43,179.50 and 101,784

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Solution

The third proportional to 43,179.50 and 101,784 is: 239,928.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,179.50 : 101,784 = 101,784 : x
  2. Step 2: Convert to fraction form
    43,179.50/101,784 = 101,784/x
  3. Step 3: Cross multiply
    43,179.50x = 101,784 × 101,784
  4. Step 4: Simplify right side
    43,179.50x = 10,359,982,656
  5. Step 5: Solve for x
    x = 10,359,982,656/43,179.50
  6. Step 6: Final answer
    x = 239,928.27

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.