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Finding the Third Proportional to 55,530 and 124,997

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Solution

The third proportional to 55,530 and 124,997 is: 281,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,530 : 124,997 = 124,997 : x
  2. Step 2: Convert to fraction form
    55,530/124,997 = 124,997/x
  3. Step 3: Cross multiply
    55,530x = 124,997 × 124,997
  4. Step 4: Simplify right side
    55,530x = 15,624,250,009
  5. Step 5: Solve for x
    x = 15,624,250,009/55,530
  6. Step 6: Final answer
    x = 281,365.93

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.