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Finding the Third Proportional to 67,269.75 and 142,738.50

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Solution

The third proportional to 67,269.75 and 142,738.50 is: 302,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,269.75 : 142,738.50 = 142,738.50 : x
  2. Step 2: Convert to fraction form
    67,269.75/142,738.50 = 142,738.50/x
  3. Step 3: Cross multiply
    67,269.75x = 142,738.50 × 142,738.50
  4. Step 4: Simplify right side
    67,269.75x = 20,374,279,382.25
  5. Step 5: Solve for x
    x = 20,374,279,382.25/67,269.75
  6. Step 6: Final answer
    x = 302,874.31

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.