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Finding the Third Proportional to 64,067.63 and 136,383.75

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Solution

The third proportional to 64,067.63 and 136,383.75 is: 290,326.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,067.63 : 136,383.75 = 136,383.75 : x
  2. Step 2: Convert to fraction form
    64,067.63/136,383.75 = 136,383.75/x
  3. Step 3: Cross multiply
    64,067.63x = 136,383.75 × 136,383.75
  4. Step 4: Simplify right side
    64,067.63x = 18,600,527,264.06
  5. Step 5: Solve for x
    x = 18,600,527,264.06/64,067.63
  6. Step 6: Final answer
    x = 290,326.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.