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Finding the Third Proportional to 67,144 and 142,784

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Solution

The third proportional to 67,144 and 142,784 is: 303,635.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144 : 142,784 = 142,784 : x
  2. Step 2: Convert to fraction form
    67,144/142,784 = 142,784/x
  3. Step 3: Cross multiply
    67,144x = 142,784 × 142,784
  4. Step 4: Simplify right side
    67,144x = 20,387,270,656
  5. Step 5: Solve for x
    x = 20,387,270,656/67,144
  6. Step 6: Final answer
    x = 303,635.03

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.