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Finding the Third Proportional to 107,936.25 and 229,026

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Solution

The third proportional to 107,936.25 and 229,026 is: 485,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,936.25 : 229,026 = 229,026 : x
  2. Step 2: Convert to fraction form
    107,936.25/229,026 = 229,026/x
  3. Step 3: Cross multiply
    107,936.25x = 229,026 × 229,026
  4. Step 4: Simplify right side
    107,936.25x = 52,452,908,676
  5. Step 5: Solve for x
    x = 52,452,908,676/107,936.25
  6. Step 6: Final answer
    x = 485,961.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.