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Finding the Third Proportional to 104,762 and 226,124

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Solution

The third proportional to 104,762 and 226,124 is: 488,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,762 : 226,124 = 226,124 : x
  2. Step 2: Convert to fraction form
    104,762/226,124 = 226,124/x
  3. Step 3: Cross multiply
    104,762x = 226,124 × 226,124
  4. Step 4: Simplify right side
    104,762x = 51,132,063,376
  5. Step 5: Solve for x
    x = 51,132,063,376/104,762
  6. Step 6: Final answer
    x = 488,078.34

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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.