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Finding the Third Proportional to 52,024 and 122,760

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Solution

The third proportional to 52,024 and 122,760 is: 289,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,024 : 122,760 = 122,760 : x
  2. Step 2: Convert to fraction form
    52,024/122,760 = 122,760/x
  3. Step 3: Cross multiply
    52,024x = 122,760 × 122,760
  4. Step 4: Simplify right side
    52,024x = 15,070,017,600
  5. Step 5: Solve for x
    x = 15,070,017,600/52,024
  6. Step 6: Final answer
    x = 289,674.33

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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.