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Finding the Third Proportional to 86,043.25 and 184,541.75

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Solution

The third proportional to 86,043.25 and 184,541.75 is: 395,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,043.25 : 184,541.75 = 184,541.75 : x
  2. Step 2: Convert to fraction form
    86,043.25/184,541.75 = 184,541.75/x
  3. Step 3: Cross multiply
    86,043.25x = 184,541.75 × 184,541.75
  4. Step 4: Simplify right side
    86,043.25x = 34,055,657,493.06
  5. Step 5: Solve for x
    x = 34,055,657,493.06/86,043.25
  6. Step 6: Final answer
    x = 395,796.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.