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Finding the Third Proportional to 48,166.31 and 76,708.69

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Solution

The third proportional to 48,166.31 and 76,708.69 is: 122,164.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,166.31 : 76,708.69 = 76,708.69 : x
  2. Step 2: Convert to fraction form
    48,166.31/76,708.69 = 76,708.69/x
  3. Step 3: Cross multiply
    48,166.31x = 76,708.69 × 76,708.69
  4. Step 4: Simplify right side
    48,166.31x = 5,884,222,737.97
  5. Step 5: Solve for x
    x = 5,884,222,737.97/48,166.31
  6. Step 6: Final answer
    x = 122,164.69

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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.