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Finding the Third Proportional to 61,843.50 and 135,013.50

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Solution

The third proportional to 61,843.50 and 135,013.50 is: 294,754.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,843.50 : 135,013.50 = 135,013.50 : x
  2. Step 2: Convert to fraction form
    61,843.50/135,013.50 = 135,013.50/x
  3. Step 3: Cross multiply
    61,843.50x = 135,013.50 × 135,013.50
  4. Step 4: Simplify right side
    61,843.50x = 18,228,645,182.25
  5. Step 5: Solve for x
    x = 18,228,645,182.25/61,843.50
  6. Step 6: Final answer
    x = 294,754.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.