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Finding the Third Proportional to 112,121 and 166,583

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Solution

The third proportional to 112,121 and 166,583 is: 247,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,121 : 166,583 = 166,583 : x
  2. Step 2: Convert to fraction form
    112,121/166,583 = 166,583/x
  3. Step 3: Cross multiply
    112,121x = 166,583 × 166,583
  4. Step 4: Simplify right side
    112,121x = 27,749,895,889
  5. Step 5: Solve for x
    x = 27,749,895,889/112,121
  6. Step 6: Final answer
    x = 247,499.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.