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Finding the Third Proportional to 67,441 and 144,724

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Solution

The third proportional to 67,441 and 144,724 is: 310,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,441 : 144,724 = 144,724 : x
  2. Step 2: Convert to fraction form
    67,441/144,724 = 144,724/x
  3. Step 3: Cross multiply
    67,441x = 144,724 × 144,724
  4. Step 4: Simplify right side
    67,441x = 20,945,036,176
  5. Step 5: Solve for x
    x = 20,945,036,176/67,441
  6. Step 6: Final answer
    x = 310,568.29

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.