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Finding the Third Proportional to 64,546.50 and 139,816.50

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Solution

The third proportional to 64,546.50 and 139,816.50 is: 302,861.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,546.50 : 139,816.50 = 139,816.50 : x
  2. Step 2: Convert to fraction form
    64,546.50/139,816.50 = 139,816.50/x
  3. Step 3: Cross multiply
    64,546.50x = 139,816.50 × 139,816.50
  4. Step 4: Simplify right side
    64,546.50x = 19,548,653,672.25
  5. Step 5: Solve for x
    x = 19,548,653,672.25/64,546.50
  6. Step 6: Final answer
    x = 302,861.56

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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.