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Finding the Third Proportional to 49,946.50 and 106,250

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Solution

The third proportional to 49,946.50 and 106,250 is: 226,023.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,946.50 : 106,250 = 106,250 : x
  2. Step 2: Convert to fraction form
    49,946.50/106,250 = 106,250/x
  3. Step 3: Cross multiply
    49,946.50x = 106,250 × 106,250
  4. Step 4: Simplify right side
    49,946.50x = 11,289,062,500
  5. Step 5: Solve for x
    x = 11,289,062,500/49,946.50
  6. Step 6: Final answer
    x = 226,023.09

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.