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Finding the Third Proportional to 67,287 and 141,546

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Solution

The third proportional to 67,287 and 141,546 is: 297,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,287 : 141,546 = 141,546 : x
  2. Step 2: Convert to fraction form
    67,287/141,546 = 141,546/x
  3. Step 3: Cross multiply
    67,287x = 141,546 × 141,546
  4. Step 4: Simplify right side
    67,287x = 20,035,270,116
  5. Step 5: Solve for x
    x = 20,035,270,116/67,287
  6. Step 6: Final answer
    x = 297,758.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.