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Finding the Third Proportional to 85,142 and 124,694

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Solution

The third proportional to 85,142 and 124,694 is: 182,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,142 : 124,694 = 124,694 : x
  2. Step 2: Convert to fraction form
    85,142/124,694 = 124,694/x
  3. Step 3: Cross multiply
    85,142x = 124,694 × 124,694
  4. Step 4: Simplify right side
    85,142x = 15,548,593,636
  5. Step 5: Solve for x
    x = 15,548,593,636/85,142
  6. Step 6: Final answer
    x = 182,619.55

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.