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Finding the Third Proportional to 122,666 and 264,125

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Solution

The third proportional to 122,666 and 264,125 is: 568,715.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,666 : 264,125 = 264,125 : x
  2. Step 2: Convert to fraction form
    122,666/264,125 = 264,125/x
  3. Step 3: Cross multiply
    122,666x = 264,125 × 264,125
  4. Step 4: Simplify right side
    122,666x = 69,762,015,625
  5. Step 5: Solve for x
    x = 69,762,015,625/122,666
  6. Step 6: Final answer
    x = 568,715.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.