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Finding the Third Proportional to 48,762 and 72,822

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Solution

The third proportional to 48,762 and 72,822 is: 108,753.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,762 : 72,822 = 72,822 : x
  2. Step 2: Convert to fraction form
    48,762/72,822 = 72,822/x
  3. Step 3: Cross multiply
    48,762x = 72,822 × 72,822
  4. Step 4: Simplify right side
    48,762x = 5,303,043,684
  5. Step 5: Solve for x
    x = 5,303,043,684/48,762
  6. Step 6: Final answer
    x = 108,753.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.