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Finding the Third Proportional to 48,703 and 73,055

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Solution

The third proportional to 48,703 and 73,055 is: 109,583.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,703 : 73,055 = 73,055 : x
  2. Step 2: Convert to fraction form
    48,703/73,055 = 73,055/x
  3. Step 3: Cross multiply
    48,703x = 73,055 × 73,055
  4. Step 4: Simplify right side
    48,703x = 5,337,033,025
  5. Step 5: Solve for x
    x = 5,337,033,025/48,703
  6. Step 6: Final answer
    x = 109,583.25

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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.