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Finding the Third Proportional to 122,060.25 and 264,189.94

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Solution

The third proportional to 122,060.25 and 264,189.94 is: 571,818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,060.25 : 264,189.94 = 264,189.94 : x
  2. Step 2: Convert to fraction form
    122,060.25/264,189.94 = 264,189.94/x
  3. Step 3: Cross multiply
    122,060.25x = 264,189.94 × 264,189.94
  4. Step 4: Simplify right side
    122,060.25x = 69,796,323,076.25
  5. Step 5: Solve for x
    x = 69,796,323,076.25/122,060.25
  6. Step 6: Final answer
    x = 571,818.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.