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Finding the Third Proportional to 48,530 and 73,137

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Solution

The third proportional to 48,530 and 73,137 is: 110,220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530 : 73,137 = 73,137 : x
  2. Step 2: Convert to fraction form
    48,530/73,137 = 73,137/x
  3. Step 3: Cross multiply
    48,530x = 73,137 × 73,137
  4. Step 4: Simplify right side
    48,530x = 5,349,020,769
  5. Step 5: Solve for x
    x = 5,349,020,769/48,530
  6. Step 6: Final answer
    x = 110,220.91

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Why These Related Problems?

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