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Finding the Third Proportional to 40,120 and 60,036

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Solution

The third proportional to 40,120 and 60,036 is: 89,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,120 : 60,036 = 60,036 : x
  2. Step 2: Convert to fraction form
    40,120/60,036 = 60,036/x
  3. Step 3: Cross multiply
    40,120x = 60,036 × 60,036
  4. Step 4: Simplify right side
    40,120x = 3,604,321,296
  5. Step 5: Solve for x
    x = 3,604,321,296/40,120
  6. Step 6: Final answer
    x = 89,838.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.