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Finding the Third Proportional to 113,061 and 166,221

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Solution

The third proportional to 113,061 and 166,221 is: 244,376.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,061 : 166,221 = 166,221 : x
  2. Step 2: Convert to fraction form
    113,061/166,221 = 166,221/x
  3. Step 3: Cross multiply
    113,061x = 166,221 × 166,221
  4. Step 4: Simplify right side
    113,061x = 27,629,420,841
  5. Step 5: Solve for x
    x = 27,629,420,841/113,061
  6. Step 6: Final answer
    x = 244,376.23

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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.