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Finding the Third Proportional to 59,157 and 121,074.75

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Solution

The third proportional to 59,157 and 121,074.75 is: 247,799.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,157 : 121,074.75 = 121,074.75 : x
  2. Step 2: Convert to fraction form
    59,157/121,074.75 = 121,074.75/x
  3. Step 3: Cross multiply
    59,157x = 121,074.75 × 121,074.75
  4. Step 4: Simplify right side
    59,157x = 14,659,095,087.56
  5. Step 5: Solve for x
    x = 14,659,095,087.56/59,157
  6. Step 6: Final answer
    x = 247,799.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.