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Finding the Third Proportional to 72,764.58 and 159,054.89

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Solution

The third proportional to 72,764.58 and 159,054.89 is: 347,675.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,764.58 : 159,054.89 = 159,054.89 : x
  2. Step 2: Convert to fraction form
    72,764.58/159,054.89 = 159,054.89/x
  3. Step 3: Cross multiply
    72,764.58x = 159,054.89 × 159,054.89
  4. Step 4: Simplify right side
    72,764.58x = 25,298,458,231.73
  5. Step 5: Solve for x
    x = 25,298,458,231.73/72,764.58
  6. Step 6: Final answer
    x = 347,675.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.