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Finding the Third Proportional to 67,941 and 147,546

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Solution

The third proportional to 67,941 and 147,546 is: 320,422.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,941 : 147,546 = 147,546 : x
  2. Step 2: Convert to fraction form
    67,941/147,546 = 147,546/x
  3. Step 3: Cross multiply
    67,941x = 147,546 × 147,546
  4. Step 4: Simplify right side
    67,941x = 21,769,822,116
  5. Step 5: Solve for x
    x = 21,769,822,116/67,941
  6. Step 6: Final answer
    x = 320,422.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.