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Finding the Third Proportional to 85,969.13 and 186,761.25

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Solution

The third proportional to 85,969.13 and 186,761.25 is: 405,724.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,969.13 : 186,761.25 = 186,761.25 : x
  2. Step 2: Convert to fraction form
    85,969.13/186,761.25 = 186,761.25/x
  3. Step 3: Cross multiply
    85,969.13x = 186,761.25 × 186,761.25
  4. Step 4: Simplify right side
    85,969.13x = 34,879,764,501.56
  5. Step 5: Solve for x
    x = 34,879,764,501.56/85,969.13
  6. Step 6: Final answer
    x = 405,724.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.