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Finding the Third Proportional to 71,594.51 and 141,382.65

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Solution

The third proportional to 71,594.51 and 141,382.65 is: 279,198.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.51 : 141,382.65 = 141,382.65 : x
  2. Step 2: Convert to fraction form
    71,594.51/141,382.65 = 141,382.65/x
  3. Step 3: Cross multiply
    71,594.51x = 141,382.65 × 141,382.65
  4. Step 4: Simplify right side
    71,594.51x = 19,989,054,383.75
  5. Step 5: Solve for x
    x = 19,989,054,383.75/71,594.51
  6. Step 6: Final answer
    x = 279,198.15

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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.