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Finding the Third Proportional to 66,620 and 143,122

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Solution

The third proportional to 66,620 and 143,122 is: 307,473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,620 : 143,122 = 143,122 : x
  2. Step 2: Convert to fraction form
    66,620/143,122 = 143,122/x
  3. Step 3: Cross multiply
    66,620x = 143,122 × 143,122
  4. Step 4: Simplify right side
    66,620x = 20,483,906,884
  5. Step 5: Solve for x
    x = 20,483,906,884/66,620
  6. Step 6: Final answer
    x = 307,473.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.