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Finding the Third Proportional to 55,936.50 and 84,087

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Solution

The third proportional to 55,936.50 and 84,087 is: 126,404.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,936.50 : 84,087 = 84,087 : x
  2. Step 2: Convert to fraction form
    55,936.50/84,087 = 84,087/x
  3. Step 3: Cross multiply
    55,936.50x = 84,087 × 84,087
  4. Step 4: Simplify right side
    55,936.50x = 7,070,623,569
  5. Step 5: Solve for x
    x = 7,070,623,569/55,936.50
  6. Step 6: Final answer
    x = 126,404.47

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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.