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Finding the Third Proportional to 61,563 and 131,874

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Solution

The third proportional to 61,563 and 131,874 is: 282,487.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,563 : 131,874 = 131,874 : x
  2. Step 2: Convert to fraction form
    61,563/131,874 = 131,874/x
  3. Step 3: Cross multiply
    61,563x = 131,874 × 131,874
  4. Step 4: Simplify right side
    61,563x = 17,390,751,876
  5. Step 5: Solve for x
    x = 17,390,751,876/61,563
  6. Step 6: Final answer
    x = 282,487.08

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.