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Finding the Third Proportional to 82,326 and 124,642

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Solution

The third proportional to 82,326 and 124,642 is: 188,708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,326 : 124,642 = 124,642 : x
  2. Step 2: Convert to fraction form
    82,326/124,642 = 124,642/x
  3. Step 3: Cross multiply
    82,326x = 124,642 × 124,642
  4. Step 4: Simplify right side
    82,326x = 15,535,628,164
  5. Step 5: Solve for x
    x = 15,535,628,164/82,326
  6. Step 6: Final answer
    x = 188,708.65

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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.