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Finding the Third Proportional to 74,046.66 and 111,724.31

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Solution

The third proportional to 74,046.66 and 111,724.31 is: 168,573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,046.66 : 111,724.31 = 111,724.31 : x
  2. Step 2: Convert to fraction form
    74,046.66/111,724.31 = 111,724.31/x
  3. Step 3: Cross multiply
    74,046.66x = 111,724.31 × 111,724.31
  4. Step 4: Simplify right side
    74,046.66x = 12,482,322,003.60
  5. Step 5: Solve for x
    x = 12,482,322,003.60/74,046.66
  6. Step 6: Final answer
    x = 168,573.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.