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Finding the Third Proportional to 42,626.50 and 92,885

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Solution

The third proportional to 42,626.50 and 92,885 is: 202,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,626.50 : 92,885 = 92,885 : x
  2. Step 2: Convert to fraction form
    42,626.50/92,885 = 92,885/x
  3. Step 3: Cross multiply
    42,626.50x = 92,885 × 92,885
  4. Step 4: Simplify right side
    42,626.50x = 8,627,623,225
  5. Step 5: Solve for x
    x = 8,627,623,225/42,626.50
  6. Step 6: Final answer
    x = 202,400.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.