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Finding the Third Proportional to 48,162.94 and 76,705.31

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Solution

The third proportional to 48,162.94 and 76,705.31 is: 122,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,162.94 : 76,705.31 = 76,705.31 : x
  2. Step 2: Convert to fraction form
    48,162.94/76,705.31 = 76,705.31/x
  3. Step 3: Cross multiply
    48,162.94x = 76,705.31 × 76,705.31
  4. Step 4: Simplify right side
    48,162.94x = 5,883,704,965.72
  5. Step 5: Solve for x
    x = 5,883,704,965.72/48,162.94
  6. Step 6: Final answer
    x = 122,162.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.