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Finding the Third Proportional to 71,369 and 150,784

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Solution

The third proportional to 71,369 and 150,784 is: 318,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369 : 150,784 = 150,784 : x
  2. Step 2: Convert to fraction form
    71,369/150,784 = 150,784/x
  3. Step 3: Cross multiply
    71,369x = 150,784 × 150,784
  4. Step 4: Simplify right side
    71,369x = 22,735,814,656
  5. Step 5: Solve for x
    x = 22,735,814,656/71,369
  6. Step 6: Final answer
    x = 318,567.09

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.