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Finding the Third Proportional to 39,036 and 83,256

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Solution

The third proportional to 39,036 and 83,256 is: 177,568.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,036 : 83,256 = 83,256 : x
  2. Step 2: Convert to fraction form
    39,036/83,256 = 83,256/x
  3. Step 3: Cross multiply
    39,036x = 83,256 × 83,256
  4. Step 4: Simplify right side
    39,036x = 6,931,561,536
  5. Step 5: Solve for x
    x = 6,931,561,536/39,036
  6. Step 6: Final answer
    x = 177,568.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.