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Finding the Third Proportional to 53,223 and 79,836

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Solution

The third proportional to 53,223 and 79,836 is: 119,756.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,223 : 79,836 = 79,836 : x
  2. Step 2: Convert to fraction form
    53,223/79,836 = 79,836/x
  3. Step 3: Cross multiply
    53,223x = 79,836 × 79,836
  4. Step 4: Simplify right side
    53,223x = 6,373,786,896
  5. Step 5: Solve for x
    x = 6,373,786,896/53,223
  6. Step 6: Final answer
    x = 119,756.25

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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.