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Finding the Third Proportional to 49,006.50 and 106,311

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Solution

The third proportional to 49,006.50 and 106,311 is: 230,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,006.50 : 106,311 = 106,311 : x
  2. Step 2: Convert to fraction form
    49,006.50/106,311 = 106,311/x
  3. Step 3: Cross multiply
    49,006.50x = 106,311 × 106,311
  4. Step 4: Simplify right side
    49,006.50x = 11,302,028,721
  5. Step 5: Solve for x
    x = 11,302,028,721/49,006.50
  6. Step 6: Final answer
    x = 230,623.05

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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.