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Finding the Third Proportional to 112,648 and 241,936

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Solution

The third proportional to 112,648 and 241,936 is: 519,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,648 : 241,936 = 241,936 : x
  2. Step 2: Convert to fraction form
    112,648/241,936 = 241,936/x
  3. Step 3: Cross multiply
    112,648x = 241,936 × 241,936
  4. Step 4: Simplify right side
    112,648x = 58,533,028,096
  5. Step 5: Solve for x
    x = 58,533,028,096/112,648
  6. Step 6: Final answer
    x = 519,610.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.