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Finding the Third Proportional to 64,926.56 and 135,047.25

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Solution

The third proportional to 64,926.56 and 135,047.25 is: 280,898.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,926.56 : 135,047.25 = 135,047.25 : x
  2. Step 2: Convert to fraction form
    64,926.56/135,047.25 = 135,047.25/x
  3. Step 3: Cross multiply
    64,926.56x = 135,047.25 × 135,047.25
  4. Step 4: Simplify right side
    64,926.56x = 18,237,759,732.56
  5. Step 5: Solve for x
    x = 18,237,759,732.56/64,926.56
  6. Step 6: Final answer
    x = 280,898.28

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.