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Finding the Third Proportional to 45,596.67 and 72,843.05

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Solution

The third proportional to 45,596.67 and 72,843.05 is: 116,370.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,596.67 : 72,843.05 = 72,843.05 : x
  2. Step 2: Convert to fraction form
    45,596.67/72,843.05 = 72,843.05/x
  3. Step 3: Cross multiply
    45,596.67x = 72,843.05 × 72,843.05
  4. Step 4: Simplify right side
    45,596.67x = 5,306,109,478.03
  5. Step 5: Solve for x
    x = 5,306,109,478.03/45,596.67
  6. Step 6: Final answer
    x = 116,370.54

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.