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Finding the Third Proportional to 67,364 and 141,496

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Solution

The third proportional to 67,364 and 141,496 is: 297,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,364 : 141,496 = 141,496 : x
  2. Step 2: Convert to fraction form
    67,364/141,496 = 141,496/x
  3. Step 3: Cross multiply
    67,364x = 141,496 × 141,496
  4. Step 4: Simplify right side
    67,364x = 20,021,118,016
  5. Step 5: Solve for x
    x = 20,021,118,016/67,364
  6. Step 6: Final answer
    x = 297,207.97

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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.