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Finding the Third Proportional to 48,524.06 and 76,134.94

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Solution

The third proportional to 48,524.06 and 76,134.94 is: 119,456.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,524.06 : 76,134.94 = 76,134.94 : x
  2. Step 2: Convert to fraction form
    48,524.06/76,134.94 = 76,134.94/x
  3. Step 3: Cross multiply
    48,524.06x = 76,134.94 × 76,134.94
  4. Step 4: Simplify right side
    48,524.06x = 5,796,528,708.13
  5. Step 5: Solve for x
    x = 5,796,528,708.13/48,524.06
  6. Step 6: Final answer
    x = 119,456.79

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.