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Finding the Third Proportional to 127,892 and 193,622

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Solution

The third proportional to 127,892 and 193,622 is: 293,133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,892 : 193,622 = 193,622 : x
  2. Step 2: Convert to fraction form
    127,892/193,622 = 193,622/x
  3. Step 3: Cross multiply
    127,892x = 193,622 × 193,622
  4. Step 4: Simplify right side
    127,892x = 37,489,478,884
  5. Step 5: Solve for x
    x = 37,489,478,884/127,892
  6. Step 6: Final answer
    x = 293,133.89

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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.