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Finding the Third Proportional to 52,821 and 79,236

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Solution

The third proportional to 52,821 and 79,236 is: 118,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,821 : 79,236 = 79,236 : x
  2. Step 2: Convert to fraction form
    52,821/79,236 = 79,236/x
  3. Step 3: Cross multiply
    52,821x = 79,236 × 79,236
  4. Step 4: Simplify right side
    52,821x = 6,278,343,696
  5. Step 5: Solve for x
    x = 6,278,343,696/52,821
  6. Step 6: Final answer
    x = 118,860.75

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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.