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Finding the Third Proportional to 61,289 and 131,960

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Solution

The third proportional to 61,289 and 131,960 is: 284,120.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,289 : 131,960 = 131,960 : x
  2. Step 2: Convert to fraction form
    61,289/131,960 = 131,960/x
  3. Step 3: Cross multiply
    61,289x = 131,960 × 131,960
  4. Step 4: Simplify right side
    61,289x = 17,413,441,600
  5. Step 5: Solve for x
    x = 17,413,441,600/61,289
  6. Step 6: Final answer
    x = 284,120.18

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