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Finding the Third Proportional to 113,831 and 167,056

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Solution

The third proportional to 113,831 and 167,056 is: 245,167.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,831 : 167,056 = 167,056 : x
  2. Step 2: Convert to fraction form
    113,831/167,056 = 167,056/x
  3. Step 3: Cross multiply
    113,831x = 167,056 × 167,056
  4. Step 4: Simplify right side
    113,831x = 27,907,707,136
  5. Step 5: Solve for x
    x = 27,907,707,136/113,831
  6. Step 6: Final answer
    x = 245,167.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.