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Finding the Third Proportional to 67,304 and 141,584

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Solution

The third proportional to 67,304 and 141,584 is: 297,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,304 : 141,584 = 141,584 : x
  2. Step 2: Convert to fraction form
    67,304/141,584 = 141,584/x
  3. Step 3: Cross multiply
    67,304x = 141,584 × 141,584
  4. Step 4: Simplify right side
    67,304x = 20,046,029,056
  5. Step 5: Solve for x
    x = 20,046,029,056/67,304
  6. Step 6: Final answer
    x = 297,843.06

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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.