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Finding the Third Proportional to 112,694.25 and 237,963.75

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Solution

The third proportional to 112,694.25 and 237,963.75 is: 502,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,694.25 : 237,963.75 = 237,963.75 : x
  2. Step 2: Convert to fraction form
    112,694.25/237,963.75 = 237,963.75/x
  3. Step 3: Cross multiply
    112,694.25x = 237,963.75 × 237,963.75
  4. Step 4: Simplify right side
    112,694.25x = 56,626,746,314.06
  5. Step 5: Solve for x
    x = 56,626,746,314.06/112,694.25
  6. Step 6: Final answer
    x = 502,481.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.