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Finding the Third Proportional to 64,651.50 and 137,077

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Solution

The third proportional to 64,651.50 and 137,077 is: 290,636.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,651.50 : 137,077 = 137,077 : x
  2. Step 2: Convert to fraction form
    64,651.50/137,077 = 137,077/x
  3. Step 3: Cross multiply
    64,651.50x = 137,077 × 137,077
  4. Step 4: Simplify right side
    64,651.50x = 18,790,103,929
  5. Step 5: Solve for x
    x = 18,790,103,929/64,651.50
  6. Step 6: Final answer
    x = 290,636.78

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