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Finding the Third Proportional to 49,336 and 106,556

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Solution

The third proportional to 49,336 and 106,556 is: 230,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,336 : 106,556 = 106,556 : x
  2. Step 2: Convert to fraction form
    49,336/106,556 = 106,556/x
  3. Step 3: Cross multiply
    49,336x = 106,556 × 106,556
  4. Step 4: Simplify right side
    49,336x = 11,354,181,136
  5. Step 5: Solve for x
    x = 11,354,181,136/49,336
  6. Step 6: Final answer
    x = 230,139.88

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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.