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Finding the Third Proportional to 124,776 and 276,198.75

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Solution

The third proportional to 124,776 and 276,198.75 is: 611,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,776 : 276,198.75 = 276,198.75 : x
  2. Step 2: Convert to fraction form
    124,776/276,198.75 = 276,198.75/x
  3. Step 3: Cross multiply
    124,776x = 276,198.75 × 276,198.75
  4. Step 4: Simplify right side
    124,776x = 76,285,749,501.56
  5. Step 5: Solve for x
    x = 76,285,749,501.56/124,776
  6. Step 6: Final answer
    x = 611,381.59

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.