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Finding the Third Proportional to 72,786 and 159,150

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Solution

The third proportional to 72,786 and 159,150 is: 347,988.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,786 : 159,150 = 159,150 : x
  2. Step 2: Convert to fraction form
    72,786/159,150 = 159,150/x
  3. Step 3: Cross multiply
    72,786x = 159,150 × 159,150
  4. Step 4: Simplify right side
    72,786x = 25,328,722,500
  5. Step 5: Solve for x
    x = 25,328,722,500/72,786
  6. Step 6: Final answer
    x = 347,988.93

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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.