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Finding the Third Proportional to 48,902 and 73,820

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Solution

The third proportional to 48,902 and 73,820 is: 111,434.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,902 : 73,820 = 73,820 : x
  2. Step 2: Convert to fraction form
    48,902/73,820 = 73,820/x
  3. Step 3: Cross multiply
    48,902x = 73,820 × 73,820
  4. Step 4: Simplify right side
    48,902x = 5,449,392,400
  5. Step 5: Solve for x
    x = 5,449,392,400/48,902
  6. Step 6: Final answer
    x = 111,434.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.