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Finding the Third Proportional to 127,163 and 186,847

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Solution

The third proportional to 127,163 and 186,847 is: 274,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,163 : 186,847 = 186,847 : x
  2. Step 2: Convert to fraction form
    127,163/186,847 = 186,847/x
  3. Step 3: Cross multiply
    127,163x = 186,847 × 186,847
  4. Step 4: Simplify right side
    127,163x = 34,911,801,409
  5. Step 5: Solve for x
    x = 34,911,801,409/127,163
  6. Step 6: Final answer
    x = 274,543.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.