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Finding the Third Proportional to 82,322 and 126,903

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Solution

The third proportional to 82,322 and 126,903 is: 195,626.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,322 : 126,903 = 126,903 : x
  2. Step 2: Convert to fraction form
    82,322/126,903 = 126,903/x
  3. Step 3: Cross multiply
    82,322x = 126,903 × 126,903
  4. Step 4: Simplify right side
    82,322x = 16,104,371,409
  5. Step 5: Solve for x
    x = 16,104,371,409/82,322
  6. Step 6: Final answer
    x = 195,626.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.