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Finding the Third Proportional to 49,270 and 111,692.50

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Solution

The third proportional to 49,270 and 111,692.50 is: 253,201.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,270 : 111,692.50 = 111,692.50 : x
  2. Step 2: Convert to fraction form
    49,270/111,692.50 = 111,692.50/x
  3. Step 3: Cross multiply
    49,270x = 111,692.50 × 111,692.50
  4. Step 4: Simplify right side
    49,270x = 12,475,214,556.25
  5. Step 5: Solve for x
    x = 12,475,214,556.25/49,270
  6. Step 6: Final answer
    x = 253,201.03

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.