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Finding the Third Proportional to 59,544 and 79,029

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Solution

The third proportional to 59,544 and 79,029 is: 104,890.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,544 : 79,029 = 79,029 : x
  2. Step 2: Convert to fraction form
    59,544/79,029 = 79,029/x
  3. Step 3: Cross multiply
    59,544x = 79,029 × 79,029
  4. Step 4: Simplify right side
    59,544x = 6,245,582,841
  5. Step 5: Solve for x
    x = 6,245,582,841/59,544
  6. Step 6: Final answer
    x = 104,890.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.