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Finding the Third Proportional to 41,563.50 and 88,306

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Solution

The third proportional to 41,563.50 and 88,306 is: 187,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,563.50 : 88,306 = 88,306 : x
  2. Step 2: Convert to fraction form
    41,563.50/88,306 = 88,306/x
  3. Step 3: Cross multiply
    41,563.50x = 88,306 × 88,306
  4. Step 4: Simplify right side
    41,563.50x = 7,797,949,636
  5. Step 5: Solve for x
    x = 7,797,949,636/41,563.50
  6. Step 6: Final answer
    x = 187,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.