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Finding the Third Proportional to 66,045 and 142,857

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Solution

The third proportional to 66,045 and 142,857 is: 309,003.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,045 : 142,857 = 142,857 : x
  2. Step 2: Convert to fraction form
    66,045/142,857 = 142,857/x
  3. Step 3: Cross multiply
    66,045x = 142,857 × 142,857
  4. Step 4: Simplify right side
    66,045x = 20,408,122,449
  5. Step 5: Solve for x
    x = 20,408,122,449/66,045
  6. Step 6: Final answer
    x = 309,003.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.