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Finding the Third Proportional to 67,195.50 and 141,286.50

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Solution

The third proportional to 67,195.50 and 141,286.50 is: 297,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,195.50 : 141,286.50 = 141,286.50 : x
  2. Step 2: Convert to fraction form
    67,195.50/141,286.50 = 141,286.50/x
  3. Step 3: Cross multiply
    67,195.50x = 141,286.50 × 141,286.50
  4. Step 4: Simplify right side
    67,195.50x = 19,961,875,082.25
  5. Step 5: Solve for x
    x = 19,961,875,082.25/67,195.50
  6. Step 6: Final answer
    x = 297,071.61

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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.