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Finding the Third Proportional to 89,191.75 and 185,761

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Solution

The third proportional to 89,191.75 and 185,761 is: 386,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,191.75 : 185,761 = 185,761 : x
  2. Step 2: Convert to fraction form
    89,191.75/185,761 = 185,761/x
  3. Step 3: Cross multiply
    89,191.75x = 185,761 × 185,761
  4. Step 4: Simplify right side
    89,191.75x = 34,507,149,121
  5. Step 5: Solve for x
    x = 34,507,149,121/89,191.75
  6. Step 6: Final answer
    x = 386,887.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.