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Finding the Third Proportional to 67,036 and 147,356

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Solution

The third proportional to 67,036 and 147,356 is: 323,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,036 : 147,356 = 147,356 : x
  2. Step 2: Convert to fraction form
    67,036/147,356 = 147,356/x
  3. Step 3: Cross multiply
    67,036x = 147,356 × 147,356
  4. Step 4: Simplify right side
    67,036x = 21,713,790,736
  5. Step 5: Solve for x
    x = 21,713,790,736/67,036
  6. Step 6: Final answer
    x = 323,912.39

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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.