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Finding the Third Proportional to 78,059 and 184,206

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Solution

The third proportional to 78,059 and 184,206 is: 434,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059 : 184,206 = 184,206 : x
  2. Step 2: Convert to fraction form
    78,059/184,206 = 184,206/x
  3. Step 3: Cross multiply
    78,059x = 184,206 × 184,206
  4. Step 4: Simplify right side
    78,059x = 33,931,850,436
  5. Step 5: Solve for x
    x = 33,931,850,436/78,059
  6. Step 6: Final answer
    x = 434,694.92

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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.