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Finding the Third Proportional to 64,282.50 and 131,697

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Solution

The third proportional to 64,282.50 and 131,697 is: 269,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,282.50 : 131,697 = 131,697 : x
  2. Step 2: Convert to fraction form
    64,282.50/131,697 = 131,697/x
  3. Step 3: Cross multiply
    64,282.50x = 131,697 × 131,697
  4. Step 4: Simplify right side
    64,282.50x = 17,344,099,809
  5. Step 5: Solve for x
    x = 17,344,099,809/64,282.50
  6. Step 6: Final answer
    x = 269,810.60

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.