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Finding the Third Proportional to 65,555 and 143,014

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Solution

The third proportional to 65,555 and 143,014 is: 311,997.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,555 : 143,014 = 143,014 : x
  2. Step 2: Convert to fraction form
    65,555/143,014 = 143,014/x
  3. Step 3: Cross multiply
    65,555x = 143,014 × 143,014
  4. Step 4: Simplify right side
    65,555x = 20,453,004,196
  5. Step 5: Solve for x
    x = 20,453,004,196/65,555
  6. Step 6: Final answer
    x = 311,997.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.