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Finding the Third Proportional to 113,144 and 166,278

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Solution

The third proportional to 113,144 and 166,278 is: 244,364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,144 : 166,278 = 166,278 : x
  2. Step 2: Convert to fraction form
    113,144/166,278 = 166,278/x
  3. Step 3: Cross multiply
    113,144x = 166,278 × 166,278
  4. Step 4: Simplify right side
    113,144x = 27,648,373,284
  5. Step 5: Solve for x
    x = 27,648,373,284/113,144
  6. Step 6: Final answer
    x = 244,364.47

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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.