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Finding the Third Proportional to 43,203 and 68,692.50

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Solution

The third proportional to 43,203 and 68,692.50 is: 109,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,203 : 68,692.50 = 68,692.50 : x
  2. Step 2: Convert to fraction form
    43,203/68,692.50 = 68,692.50/x
  3. Step 3: Cross multiply
    43,203x = 68,692.50 × 68,692.50
  4. Step 4: Simplify right side
    43,203x = 4,718,659,556.25
  5. Step 5: Solve for x
    x = 4,718,659,556.25/43,203
  6. Step 6: Final answer
    x = 109,220.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.