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Finding the Third Proportional to 40,110 and 60,165

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Solution

The third proportional to 40,110 and 60,165 is: 90,247.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,110 : 60,165 = 60,165 : x
  2. Step 2: Convert to fraction form
    40,110/60,165 = 60,165/x
  3. Step 3: Cross multiply
    40,110x = 60,165 × 60,165
  4. Step 4: Simplify right side
    40,110x = 3,619,827,225
  5. Step 5: Solve for x
    x = 3,619,827,225/40,110
  6. Step 6: Final answer
    x = 90,247.50

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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.