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Finding the Third Proportional to 61,214 and 131,796

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Solution

The third proportional to 61,214 and 131,796 is: 283,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,214 : 131,796 = 131,796 : x
  2. Step 2: Convert to fraction form
    61,214/131,796 = 131,796/x
  3. Step 3: Cross multiply
    61,214x = 131,796 × 131,796
  4. Step 4: Simplify right side
    61,214x = 17,370,185,616
  5. Step 5: Solve for x
    x = 17,370,185,616/61,214
  6. Step 6: Final answer
    x = 283,761.65

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Why These Related Problems?

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