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Finding the Third Proportional to 49,021.50 and 106,341

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Solution

The third proportional to 49,021.50 and 106,341 is: 230,682.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,021.50 : 106,341 = 106,341 : x
  2. Step 2: Convert to fraction form
    49,021.50/106,341 = 106,341/x
  3. Step 3: Cross multiply
    49,021.50x = 106,341 × 106,341
  4. Step 4: Simplify right side
    49,021.50x = 11,308,408,281
  5. Step 5: Solve for x
    x = 11,308,408,281/49,021.50
  6. Step 6: Final answer
    x = 230,682.62

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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.