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Finding the Third Proportional to 78,057 and 184,201

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Solution

The third proportional to 78,057 and 184,201 is: 434,682.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,057 : 184,201 = 184,201 : x
  2. Step 2: Convert to fraction form
    78,057/184,201 = 184,201/x
  3. Step 3: Cross multiply
    78,057x = 184,201 × 184,201
  4. Step 4: Simplify right side
    78,057x = 33,930,008,401
  5. Step 5: Solve for x
    x = 33,930,008,401/78,057
  6. Step 6: Final answer
    x = 434,682.46

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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.