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Finding the Third Proportional to 50,338 and 79,971

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Solution

The third proportional to 50,338 and 79,971 is: 127,048.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,338 : 79,971 = 79,971 : x
  2. Step 2: Convert to fraction form
    50,338/79,971 = 79,971/x
  3. Step 3: Cross multiply
    50,338x = 79,971 × 79,971
  4. Step 4: Simplify right side
    50,338x = 6,395,360,841
  5. Step 5: Solve for x
    x = 6,395,360,841/50,338
  6. Step 6: Final answer
    x = 127,048.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.