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Finding the Third Proportional to 68,007.73 and 105,659.44

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Solution

The third proportional to 68,007.73 and 105,659.44 is: 164,156.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,007.73 : 105,659.44 = 105,659.44 : x
  2. Step 2: Convert to fraction form
    68,007.73/105,659.44 = 105,659.44/x
  3. Step 3: Cross multiply
    68,007.73x = 105,659.44 × 105,659.44
  4. Step 4: Simplify right side
    68,007.73x = 11,163,916,732.82
  5. Step 5: Solve for x
    x = 11,163,916,732.82/68,007.73
  6. Step 6: Final answer
    x = 164,156.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.