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Finding the Third Proportional to 112,771 and 149,062

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Solution

The third proportional to 112,771 and 149,062 is: 197,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,771 : 149,062 = 149,062 : x
  2. Step 2: Convert to fraction form
    112,771/149,062 = 149,062/x
  3. Step 3: Cross multiply
    112,771x = 149,062 × 149,062
  4. Step 4: Simplify right side
    112,771x = 22,219,479,844
  5. Step 5: Solve for x
    x = 22,219,479,844/112,771
  6. Step 6: Final answer
    x = 197,031.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.