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Finding the Third Proportional to 113,997.38 and 171,056.81

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Solution

The third proportional to 113,997.38 and 171,056.81 is: 256,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,997.38 : 171,056.81 = 171,056.81 : x
  2. Step 2: Convert to fraction form
    113,997.38/171,056.81 = 171,056.81/x
  3. Step 3: Cross multiply
    113,997.38x = 171,056.81 × 171,056.81
  4. Step 4: Simplify right side
    113,997.38x = 29,260,433,102.66
  5. Step 5: Solve for x
    x = 29,260,433,102.66/113,997.38
  6. Step 6: Final answer
    x = 256,676.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.