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Finding the Third Proportional to 52,036 and 122,797

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Solution

The third proportional to 52,036 and 122,797 is: 289,782.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036 : 122,797 = 122,797 : x
  2. Step 2: Convert to fraction form
    52,036/122,797 = 122,797/x
  3. Step 3: Cross multiply
    52,036x = 122,797 × 122,797
  4. Step 4: Simplify right side
    52,036x = 15,079,103,209
  5. Step 5: Solve for x
    x = 15,079,103,209/52,036
  6. Step 6: Final answer
    x = 289,782.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.