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Finding the Third Proportional to 52,004 and 122,720

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Solution

The third proportional to 52,004 and 122,720 is: 289,596.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 122,720 = 122,720 : x
  2. Step 2: Convert to fraction form
    52,004/122,720 = 122,720/x
  3. Step 3: Cross multiply
    52,004x = 122,720 × 122,720
  4. Step 4: Simplify right side
    52,004x = 15,060,198,400
  5. Step 5: Solve for x
    x = 15,060,198,400/52,004
  6. Step 6: Final answer
    x = 289,596.92

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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.