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Finding the Third Proportional to 122,004 and 264,372

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Solution

The third proportional to 122,004 and 264,372 is: 572,871.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,004 : 264,372 = 264,372 : x
  2. Step 2: Convert to fraction form
    122,004/264,372 = 264,372/x
  3. Step 3: Cross multiply
    122,004x = 264,372 × 264,372
  4. Step 4: Simplify right side
    122,004x = 69,892,554,384
  5. Step 5: Solve for x
    x = 69,892,554,384/122,004
  6. Step 6: Final answer
    x = 572,871.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.