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Finding the Third Proportional to 50,588 and 72,869

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Solution

The third proportional to 50,588 and 72,869 is: 104,963.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,588 : 72,869 = 72,869 : x
  2. Step 2: Convert to fraction form
    50,588/72,869 = 72,869/x
  3. Step 3: Cross multiply
    50,588x = 72,869 × 72,869
  4. Step 4: Simplify right side
    50,588x = 5,309,891,161
  5. Step 5: Solve for x
    x = 5,309,891,161/50,588
  6. Step 6: Final answer
    x = 104,963.45

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.