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Finding the Third Proportional to 61,158 and 126,249

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Solution

The third proportional to 61,158 and 126,249 is: 260,616.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,158 : 126,249 = 126,249 : x
  2. Step 2: Convert to fraction form
    61,158/126,249 = 126,249/x
  3. Step 3: Cross multiply
    61,158x = 126,249 × 126,249
  4. Step 4: Simplify right side
    61,158x = 15,938,810,001
  5. Step 5: Solve for x
    x = 15,938,810,001/61,158
  6. Step 6: Final answer
    x = 260,616.93

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.