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Finding the Third Proportional to 40,149 and 92,955

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Solution

The third proportional to 40,149 and 92,955 is: 215,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,149 : 92,955 = 92,955 : x
  2. Step 2: Convert to fraction form
    40,149/92,955 = 92,955/x
  3. Step 3: Cross multiply
    40,149x = 92,955 × 92,955
  4. Step 4: Simplify right side
    40,149x = 8,640,632,025
  5. Step 5: Solve for x
    x = 8,640,632,025/40,149
  6. Step 6: Final answer
    x = 215,214.13

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.