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Finding the Third Proportional to 48,770 and 73,131

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Solution

The third proportional to 48,770 and 73,131 is: 109,660.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,770 : 73,131 = 73,131 : x
  2. Step 2: Convert to fraction form
    48,770/73,131 = 73,131/x
  3. Step 3: Cross multiply
    48,770x = 73,131 × 73,131
  4. Step 4: Simplify right side
    48,770x = 5,348,143,161
  5. Step 5: Solve for x
    x = 5,348,143,161/48,770
  6. Step 6: Final answer
    x = 109,660.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.