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Finding the Third Proportional to 62,826 and 131,850

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Solution

The third proportional to 62,826 and 131,850 is: 276,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,826 : 131,850 = 131,850 : x
  2. Step 2: Convert to fraction form
    62,826/131,850 = 131,850/x
  3. Step 3: Cross multiply
    62,826x = 131,850 × 131,850
  4. Step 4: Simplify right side
    62,826x = 17,384,422,500
  5. Step 5: Solve for x
    x = 17,384,422,500/62,826
  6. Step 6: Final answer
    x = 276,707.45

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.