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Finding the Third Proportional to 57,530 and 117,848

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Solution

The third proportional to 57,530 and 117,848 is: 241,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,530 : 117,848 = 117,848 : x
  2. Step 2: Convert to fraction form
    57,530/117,848 = 117,848/x
  3. Step 3: Cross multiply
    57,530x = 117,848 × 117,848
  4. Step 4: Simplify right side
    57,530x = 13,888,151,104
  5. Step 5: Solve for x
    x = 13,888,151,104/57,530
  6. Step 6: Final answer
    x = 241,407.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.