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Finding the Third Proportional to 53,229 and 79,845

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Solution

The third proportional to 53,229 and 79,845 is: 119,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,229 : 79,845 = 79,845 : x
  2. Step 2: Convert to fraction form
    53,229/79,845 = 79,845/x
  3. Step 3: Cross multiply
    53,229x = 79,845 × 79,845
  4. Step 4: Simplify right side
    53,229x = 6,375,224,025
  5. Step 5: Solve for x
    x = 6,375,224,025/53,229
  6. Step 6: Final answer
    x = 119,769.75

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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.