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Finding the Third Proportional to 61,567 and 132,633

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Solution

The third proportional to 61,567 and 132,633 is: 285,729.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,567 : 132,633 = 132,633 : x
  2. Step 2: Convert to fraction form
    61,567/132,633 = 132,633/x
  3. Step 3: Cross multiply
    61,567x = 132,633 × 132,633
  4. Step 4: Simplify right side
    61,567x = 17,591,512,689
  5. Step 5: Solve for x
    x = 17,591,512,689/61,567
  6. Step 6: Final answer
    x = 285,729.57

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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.