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Finding the Third Proportional to 61,625.50 and 132,747.50

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Solution

The third proportional to 61,625.50 and 132,747.50 is: 285,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,625.50 : 132,747.50 = 132,747.50 : x
  2. Step 2: Convert to fraction form
    61,625.50/132,747.50 = 132,747.50/x
  3. Step 3: Cross multiply
    61,625.50x = 132,747.50 × 132,747.50
  4. Step 4: Simplify right side
    61,625.50x = 17,621,898,756.25
  5. Step 5: Solve for x
    x = 17,621,898,756.25/61,625.50
  6. Step 6: Final answer
    x = 285,951.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.