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Finding the Third Proportional to 67,306.50 and 141,581.25

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Solution

The third proportional to 67,306.50 and 141,581.25 is: 297,820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,306.50 : 141,581.25 = 141,581.25 : x
  2. Step 2: Convert to fraction form
    67,306.50/141,581.25 = 141,581.25/x
  3. Step 3: Cross multiply
    67,306.50x = 141,581.25 × 141,581.25
  4. Step 4: Simplify right side
    67,306.50x = 20,045,250,351.56
  5. Step 5: Solve for x
    x = 20,045,250,351.56/67,306.50
  6. Step 6: Final answer
    x = 297,820.42

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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.