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Finding the Third Proportional to 85,461.75 and 184,065.75

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Solution

The third proportional to 85,461.75 and 184,065.75 is: 396,437.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,461.75 : 184,065.75 = 184,065.75 : x
  2. Step 2: Convert to fraction form
    85,461.75/184,065.75 = 184,065.75/x
  3. Step 3: Cross multiply
    85,461.75x = 184,065.75 × 184,065.75
  4. Step 4: Simplify right side
    85,461.75x = 33,880,200,323.06
  5. Step 5: Solve for x
    x = 33,880,200,323.06/85,461.75
  6. Step 6: Final answer
    x = 396,437.01

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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.