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Finding the Third Proportional to 83,106 and 124,326

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Solution

The third proportional to 83,106 and 124,326 is: 185,990.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,106 : 124,326 = 124,326 : x
  2. Step 2: Convert to fraction form
    83,106/124,326 = 124,326/x
  3. Step 3: Cross multiply
    83,106x = 124,326 × 124,326
  4. Step 4: Simplify right side
    83,106x = 15,456,954,276
  5. Step 5: Solve for x
    x = 15,456,954,276/83,106
  6. Step 6: Final answer
    x = 185,990.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.