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Finding the Third Proportional to 78,062 and 184,214

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Solution

The third proportional to 78,062 and 184,214 is: 434,715.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,062 : 184,214 = 184,214 : x
  2. Step 2: Convert to fraction form
    78,062/184,214 = 184,214/x
  3. Step 3: Cross multiply
    78,062x = 184,214 × 184,214
  4. Step 4: Simplify right side
    78,062x = 33,934,797,796
  5. Step 5: Solve for x
    x = 33,934,797,796/78,062
  6. Step 6: Final answer
    x = 434,715.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.