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Finding the Third Proportional to 77,229 and 119,390

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Solution

The third proportional to 77,229 and 119,390 is: 184,567.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,229 : 119,390 = 119,390 : x
  2. Step 2: Convert to fraction form
    77,229/119,390 = 119,390/x
  3. Step 3: Cross multiply
    77,229x = 119,390 × 119,390
  4. Step 4: Simplify right side
    77,229x = 14,253,972,100
  5. Step 5: Solve for x
    x = 14,253,972,100/77,229
  6. Step 6: Final answer
    x = 184,567.61

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Why These Related Problems?

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