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Finding the Third Proportional to 65,056 and 142,244

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Solution

The third proportional to 65,056 and 142,244 is: 311,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,056 : 142,244 = 142,244 : x
  2. Step 2: Convert to fraction form
    65,056/142,244 = 142,244/x
  3. Step 3: Cross multiply
    65,056x = 142,244 × 142,244
  4. Step 4: Simplify right side
    65,056x = 20,233,355,536
  5. Step 5: Solve for x
    x = 20,233,355,536/65,056
  6. Step 6: Final answer
    x = 311,014.44

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.