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Finding the Third Proportional to 78,476.63 and 167,067

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Solution

The third proportional to 78,476.63 and 167,067 is: 355,664.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,476.63 : 167,067 = 167,067 : x
  2. Step 2: Convert to fraction form
    78,476.63/167,067 = 167,067/x
  3. Step 3: Cross multiply
    78,476.63x = 167,067 × 167,067
  4. Step 4: Simplify right side
    78,476.63x = 27,911,382,489
  5. Step 5: Solve for x
    x = 27,911,382,489/78,476.63
  6. Step 6: Final answer
    x = 355,664.92

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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.