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Finding the Third Proportional to 52,296 and 80,013

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Solution

The third proportional to 52,296 and 80,013 is: 122,420.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296 : 80,013 = 80,013 : x
  2. Step 2: Convert to fraction form
    52,296/80,013 = 80,013/x
  3. Step 3: Cross multiply
    52,296x = 80,013 × 80,013
  4. Step 4: Simplify right side
    52,296x = 6,402,080,169
  5. Step 5: Solve for x
    x = 6,402,080,169/52,296
  6. Step 6: Final answer
    x = 122,420.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.