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Finding the Third Proportional to 61,689 and 132,733

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Solution

The third proportional to 61,689 and 132,733 is: 285,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,689 : 132,733 = 132,733 : x
  2. Step 2: Convert to fraction form
    61,689/132,733 = 132,733/x
  3. Step 3: Cross multiply
    61,689x = 132,733 × 132,733
  4. Step 4: Simplify right side
    61,689x = 17,618,049,289
  5. Step 5: Solve for x
    x = 17,618,049,289/61,689
  6. Step 6: Final answer
    x = 285,594.66

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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.