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Finding the Third Proportional to 66,289.50 and 136,404

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Solution

The third proportional to 66,289.50 and 136,404 is: 280,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,289.50 : 136,404 = 136,404 : x
  2. Step 2: Convert to fraction form
    66,289.50/136,404 = 136,404/x
  3. Step 3: Cross multiply
    66,289.50x = 136,404 × 136,404
  4. Step 4: Simplify right side
    66,289.50x = 18,606,051,216
  5. Step 5: Solve for x
    x = 18,606,051,216/66,289.50
  6. Step 6: Final answer
    x = 280,678.71

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.