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Finding the Third Proportional to 86,037.75 and 184,534.88

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Solution

The third proportional to 86,037.75 and 184,534.88 is: 395,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,037.75 : 184,534.88 = 184,534.88 : x
  2. Step 2: Convert to fraction form
    86,037.75/184,534.88 = 184,534.88/x
  3. Step 3: Cross multiply
    86,037.75x = 184,534.88 × 184,534.88
  4. Step 4: Simplify right side
    86,037.75x = 34,053,120,091.27
  5. Step 5: Solve for x
    x = 34,053,120,091.27/86,037.75
  6. Step 6: Final answer
    x = 395,792.78

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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.