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Finding the Third Proportional to 85,884.56 and 183,180.75

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Solution

The third proportional to 85,884.56 and 183,180.75 is: 390,701.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884.56 : 183,180.75 = 183,180.75 : x
  2. Step 2: Convert to fraction form
    85,884.56/183,180.75 = 183,180.75/x
  3. Step 3: Cross multiply
    85,884.56x = 183,180.75 × 183,180.75
  4. Step 4: Simplify right side
    85,884.56x = 33,555,187,170.56
  5. Step 5: Solve for x
    x = 33,555,187,170.56/85,884.56
  6. Step 6: Final answer
    x = 390,701.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.