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Finding the Third Proportional to 85,721.63 and 184,200.75

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Solution

The third proportional to 85,721.63 and 184,200.75 is: 395,815.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,721.63 : 184,200.75 = 184,200.75 : x
  2. Step 2: Convert to fraction form
    85,721.63/184,200.75 = 184,200.75/x
  3. Step 3: Cross multiply
    85,721.63x = 184,200.75 × 184,200.75
  4. Step 4: Simplify right side
    85,721.63x = 33,929,916,300.56
  5. Step 5: Solve for x
    x = 33,929,916,300.56/85,721.63
  6. Step 6: Final answer
    x = 395,815.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.