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Finding the Third Proportional to 69,076.50 and 144,409.50

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Solution

The third proportional to 69,076.50 and 144,409.50 is: 301,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076.50 : 144,409.50 = 144,409.50 : x
  2. Step 2: Convert to fraction form
    69,076.50/144,409.50 = 144,409.50/x
  3. Step 3: Cross multiply
    69,076.50x = 144,409.50 × 144,409.50
  4. Step 4: Simplify right side
    69,076.50x = 20,854,103,690.25
  5. Step 5: Solve for x
    x = 20,854,103,690.25/69,076.50
  6. Step 6: Final answer
    x = 301,898.67

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.