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Finding the Third Proportional to 92,182 and 138,922

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Solution

The third proportional to 92,182 and 138,922 is: 209,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,182 : 138,922 = 138,922 : x
  2. Step 2: Convert to fraction form
    92,182/138,922 = 138,922/x
  3. Step 3: Cross multiply
    92,182x = 138,922 × 138,922
  4. Step 4: Simplify right side
    92,182x = 19,299,322,084
  5. Step 5: Solve for x
    x = 19,299,322,084/92,182
  6. Step 6: Final answer
    x = 209,361.07

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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.