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Finding the Third Proportional to 61,929 and 131,850

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Solution

The third proportional to 61,929 and 131,850 is: 280,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,929 : 131,850 = 131,850 : x
  2. Step 2: Convert to fraction form
    61,929/131,850 = 131,850/x
  3. Step 3: Cross multiply
    61,929x = 131,850 × 131,850
  4. Step 4: Simplify right side
    61,929x = 17,384,422,500
  5. Step 5: Solve for x
    x = 17,384,422,500/61,929
  6. Step 6: Final answer
    x = 280,715.38

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.