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Finding the Third Proportional to 136,714.50 and 204,513.75

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Solution

The third proportional to 136,714.50 and 204,513.75 is: 305,935.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,714.50 : 204,513.75 = 204,513.75 : x
  2. Step 2: Convert to fraction form
    136,714.50/204,513.75 = 204,513.75/x
  3. Step 3: Cross multiply
    136,714.50x = 204,513.75 × 204,513.75
  4. Step 4: Simplify right side
    136,714.50x = 41,825,873,939.06
  5. Step 5: Solve for x
    x = 41,825,873,939.06/136,714.50
  6. Step 6: Final answer
    x = 305,935.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.