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Finding the Third Proportional to 113,512 and 171,848

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Solution

The third proportional to 113,512 and 171,848 is: 260,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,512 : 171,848 = 171,848 : x
  2. Step 2: Convert to fraction form
    113,512/171,848 = 171,848/x
  3. Step 3: Cross multiply
    113,512x = 171,848 × 171,848
  4. Step 4: Simplify right side
    113,512x = 29,531,735,104
  5. Step 5: Solve for x
    x = 29,531,735,104/113,512
  6. Step 6: Final answer
    x = 260,163.99

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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.