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Finding the Third Proportional to 55,687.50 and 122,401.13

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Solution

The third proportional to 55,687.50 and 122,401.13 is: 269,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,687.50 : 122,401.13 = 122,401.13 : x
  2. Step 2: Convert to fraction form
    55,687.50/122,401.13 = 122,401.13/x
  3. Step 3: Cross multiply
    55,687.50x = 122,401.13 × 122,401.13
  4. Step 4: Simplify right side
    55,687.50x = 14,982,035,401.27
  5. Step 5: Solve for x
    x = 14,982,035,401.27/55,687.50
  6. Step 6: Final answer
    x = 269,037.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.