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Finding the Third Proportional to 61,583 and 132,662

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Solution

The third proportional to 61,583 and 132,662 is: 285,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,583 : 132,662 = 132,662 : x
  2. Step 2: Convert to fraction form
    61,583/132,662 = 132,662/x
  3. Step 3: Cross multiply
    61,583x = 132,662 × 132,662
  4. Step 4: Simplify right side
    61,583x = 17,599,206,244
  5. Step 5: Solve for x
    x = 17,599,206,244/61,583
  6. Step 6: Final answer
    x = 285,780.27

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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.