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Finding the Third Proportional to 83,022 and 124,617

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Solution

The third proportional to 83,022 and 124,617 is: 187,051.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022 : 124,617 = 124,617 : x
  2. Step 2: Convert to fraction form
    83,022/124,617 = 124,617/x
  3. Step 3: Cross multiply
    83,022x = 124,617 × 124,617
  4. Step 4: Simplify right side
    83,022x = 15,529,396,689
  5. Step 5: Solve for x
    x = 15,529,396,689/83,022
  6. Step 6: Final answer
    x = 187,051.58

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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.