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Finding the Third Proportional to 61,926 and 131,844

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Solution

The third proportional to 61,926 and 131,844 is: 280,703.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,926 : 131,844 = 131,844 : x
  2. Step 2: Convert to fraction form
    61,926/131,844 = 131,844/x
  3. Step 3: Cross multiply
    61,926x = 131,844 × 131,844
  4. Step 4: Simplify right side
    61,926x = 17,382,840,336
  5. Step 5: Solve for x
    x = 17,382,840,336/61,926
  6. Step 6: Final answer
    x = 280,703.43

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Why These Related Problems?

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