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Finding the Third Proportional to 52,200 and 79,029

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Solution

The third proportional to 52,200 and 79,029 is: 119,647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,200 : 79,029 = 79,029 : x
  2. Step 2: Convert to fraction form
    52,200/79,029 = 79,029/x
  3. Step 3: Cross multiply
    52,200x = 79,029 × 79,029
  4. Step 4: Simplify right side
    52,200x = 6,245,582,841
  5. Step 5: Solve for x
    x = 6,245,582,841/52,200
  6. Step 6: Final answer
    x = 119,647.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.