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Finding the Third Proportional to 118,051 and 184,137

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Solution

The third proportional to 118,051 and 184,137 is: 287,218.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,051 : 184,137 = 184,137 : x
  2. Step 2: Convert to fraction form
    118,051/184,137 = 184,137/x
  3. Step 3: Cross multiply
    118,051x = 184,137 × 184,137
  4. Step 4: Simplify right side
    118,051x = 33,906,434,769
  5. Step 5: Solve for x
    x = 33,906,434,769/118,051
  6. Step 6: Final answer
    x = 287,218.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.