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Finding the Third Proportional to 127,892 and 200,187

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Solution

The third proportional to 127,892 and 200,187 is: 313,349.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,892 : 200,187 = 200,187 : x
  2. Step 2: Convert to fraction form
    127,892/200,187 = 200,187/x
  3. Step 3: Cross multiply
    127,892x = 200,187 × 200,187
  4. Step 4: Simplify right side
    127,892x = 40,074,834,969
  5. Step 5: Solve for x
    x = 40,074,834,969/127,892
  6. Step 6: Final answer
    x = 313,349.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.