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Finding the Third Proportional to 84,776 and 184,120

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Solution

The third proportional to 84,776 and 184,120 is: 399,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,776 : 184,120 = 184,120 : x
  2. Step 2: Convert to fraction form
    84,776/184,120 = 184,120/x
  3. Step 3: Cross multiply
    84,776x = 184,120 × 184,120
  4. Step 4: Simplify right side
    84,776x = 33,900,174,400
  5. Step 5: Solve for x
    x = 33,900,174,400/84,776
  6. Step 6: Final answer
    x = 399,879.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.