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Finding the Third Proportional to 72,766.69 and 159,060.38

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Solution

The third proportional to 72,766.69 and 159,060.38 is: 347,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,766.69 : 159,060.38 = 159,060.38 : x
  2. Step 2: Convert to fraction form
    72,766.69/159,060.38 = 159,060.38/x
  3. Step 3: Cross multiply
    72,766.69x = 159,060.38 × 159,060.38
  4. Step 4: Simplify right side
    72,766.69x = 25,300,202,895.14
  5. Step 5: Solve for x
    x = 25,300,202,895.14/72,766.69
  6. Step 6: Final answer
    x = 347,689.36

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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.