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Finding the Third Proportional to 124,979 and 193,571

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Solution

The third proportional to 124,979 and 193,571 is: 299,808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,979 : 193,571 = 193,571 : x
  2. Step 2: Convert to fraction form
    124,979/193,571 = 193,571/x
  3. Step 3: Cross multiply
    124,979x = 193,571 × 193,571
  4. Step 4: Simplify right side
    124,979x = 37,469,732,041
  5. Step 5: Solve for x
    x = 37,469,732,041/124,979
  6. Step 6: Final answer
    x = 299,808.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.