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Finding the Third Proportional to 65,553 and 143,010

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Solution

The third proportional to 65,553 and 143,010 is: 311,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,553 : 143,010 = 143,010 : x
  2. Step 2: Convert to fraction form
    65,553/143,010 = 143,010/x
  3. Step 3: Cross multiply
    65,553x = 143,010 × 143,010
  4. Step 4: Simplify right side
    65,553x = 20,451,860,100
  5. Step 5: Solve for x
    x = 20,451,860,100/65,553
  6. Step 6: Final answer
    x = 311,989.69

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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.