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Finding the Third Proportional to 64,843.50 and 140,757

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Solution

The third proportional to 64,843.50 and 140,757 is: 305,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,843.50 : 140,757 = 140,757 : x
  2. Step 2: Convert to fraction form
    64,843.50/140,757 = 140,757/x
  3. Step 3: Cross multiply
    64,843.50x = 140,757 × 140,757
  4. Step 4: Simplify right side
    64,843.50x = 19,812,533,049
  5. Step 5: Solve for x
    x = 19,812,533,049/64,843.50
  6. Step 6: Final answer
    x = 305,543.86

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.