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Finding the Third Proportional to 72,792 and 156,762

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Solution

The third proportional to 72,792 and 156,762 is: 337,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,792 : 156,762 = 156,762 : x
  2. Step 2: Convert to fraction form
    72,792/156,762 = 156,762/x
  3. Step 3: Cross multiply
    72,792x = 156,762 × 156,762
  4. Step 4: Simplify right side
    72,792x = 24,574,324,644
  5. Step 5: Solve for x
    x = 24,574,324,644/72,792
  6. Step 6: Final answer
    x = 337,596.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.