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Finding the Third Proportional to 49,242 and 104,392

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Solution

The third proportional to 49,242 and 104,392 is: 221,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,242 : 104,392 = 104,392 : x
  2. Step 2: Convert to fraction form
    49,242/104,392 = 104,392/x
  3. Step 3: Cross multiply
    49,242x = 104,392 × 104,392
  4. Step 4: Simplify right side
    49,242x = 10,897,689,664
  5. Step 5: Solve for x
    x = 10,897,689,664/49,242
  6. Step 6: Final answer
    x = 221,308.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.