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Finding the Third Proportional to 98,692.50 and 149,885

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Solution

The third proportional to 98,692.50 and 149,885 is: 227,631.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,692.50 : 149,885 = 149,885 : x
  2. Step 2: Convert to fraction form
    98,692.50/149,885 = 149,885/x
  3. Step 3: Cross multiply
    98,692.50x = 149,885 × 149,885
  4. Step 4: Simplify right side
    98,692.50x = 22,465,513,225
  5. Step 5: Solve for x
    x = 22,465,513,225/98,692.50
  6. Step 6: Final answer
    x = 227,631.41

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.