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Finding the Third Proportional to 124,692.75 and 275,629.50

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Solution

The third proportional to 124,692.75 and 275,629.50 is: 609,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,692.75 : 275,629.50 = 275,629.50 : x
  2. Step 2: Convert to fraction form
    124,692.75/275,629.50 = 275,629.50/x
  3. Step 3: Cross multiply
    124,692.75x = 275,629.50 × 275,629.50
  4. Step 4: Simplify right side
    124,692.75x = 75,971,621,270.25
  5. Step 5: Solve for x
    x = 75,971,621,270.25/124,692.75
  6. Step 6: Final answer
    x = 609,270.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.