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Finding the Third Proportional to 103,609.13 and 122,532.75

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Solution

The third proportional to 103,609.13 and 122,532.75 is: 144,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.13 : 122,532.75 = 122,532.75 : x
  2. Step 2: Convert to fraction form
    103,609.13/122,532.75 = 122,532.75/x
  3. Step 3: Cross multiply
    103,609.13x = 122,532.75 × 122,532.75
  4. Step 4: Simplify right side
    103,609.13x = 15,014,274,822.56
  5. Step 5: Solve for x
    x = 15,014,274,822.56/103,609.13
  6. Step 6: Final answer
    x = 144,912.67

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.