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Finding the Third Proportional to 64,627.50 and 137,067

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Solution

The third proportional to 64,627.50 and 137,067 is: 290,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,627.50 : 137,067 = 137,067 : x
  2. Step 2: Convert to fraction form
    64,627.50/137,067 = 137,067/x
  3. Step 3: Cross multiply
    64,627.50x = 137,067 × 137,067
  4. Step 4: Simplify right side
    64,627.50x = 18,787,362,489
  5. Step 5: Solve for x
    x = 18,787,362,489/64,627.50
  6. Step 6: Final answer
    x = 290,702.29

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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.