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Finding the Third Proportional to 71,594.75 and 141,382.75

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Solution

The third proportional to 71,594.75 and 141,382.75 is: 279,197.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.75 : 141,382.75 = 141,382.75 : x
  2. Step 2: Convert to fraction form
    71,594.75/141,382.75 = 141,382.75/x
  3. Step 3: Cross multiply
    71,594.75x = 141,382.75 × 141,382.75
  4. Step 4: Simplify right side
    71,594.75x = 19,989,081,997.56
  5. Step 5: Solve for x
    x = 19,989,081,997.56/71,594.75
  6. Step 6: Final answer
    x = 279,197.59

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.