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Finding the Third Proportional to 40,844.25 and 87,230.25

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Solution

The third proportional to 40,844.25 and 87,230.25 is: 186,295.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,844.25 : 87,230.25 = 87,230.25 : x
  2. Step 2: Convert to fraction form
    40,844.25/87,230.25 = 87,230.25/x
  3. Step 3: Cross multiply
    40,844.25x = 87,230.25 × 87,230.25
  4. Step 4: Simplify right side
    40,844.25x = 7,609,116,515.06
  5. Step 5: Solve for x
    x = 7,609,116,515.06/40,844.25
  6. Step 6: Final answer
    x = 186,295.90

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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.