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Finding the Third Proportional to 39,516 and 70,268

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Solution

The third proportional to 39,516 and 70,268 is: 124,951.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,516 : 70,268 = 70,268 : x
  2. Step 2: Convert to fraction form
    39,516/70,268 = 70,268/x
  3. Step 3: Cross multiply
    39,516x = 70,268 × 70,268
  4. Step 4: Simplify right side
    39,516x = 4,937,591,824
  5. Step 5: Solve for x
    x = 4,937,591,824/39,516
  6. Step 6: Final answer
    x = 124,951.71

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.