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Finding the Third Proportional to 110,144 and 166,248

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Solution

The third proportional to 110,144 and 166,248 is: 250,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,144 : 166,248 = 166,248 : x
  2. Step 2: Convert to fraction form
    110,144/166,248 = 166,248/x
  3. Step 3: Cross multiply
    110,144x = 166,248 × 166,248
  4. Step 4: Simplify right side
    110,144x = 27,638,397,504
  5. Step 5: Solve for x
    x = 27,638,397,504/110,144
  6. Step 6: Final answer
    x = 250,929.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.