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Finding the Third Proportional to 113,327 and 166,683

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Solution

The third proportional to 113,327 and 166,683 is: 245,159.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,327 : 166,683 = 166,683 : x
  2. Step 2: Convert to fraction form
    113,327/166,683 = 166,683/x
  3. Step 3: Cross multiply
    113,327x = 166,683 × 166,683
  4. Step 4: Simplify right side
    113,327x = 27,783,222,489
  5. Step 5: Solve for x
    x = 27,783,222,489/113,327
  6. Step 6: Final answer
    x = 245,159.78

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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.