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Finding the Third Proportional to 67,071 and 142,138

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Solution

The third proportional to 67,071 and 142,138 is: 301,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,071 : 142,138 = 142,138 : x
  2. Step 2: Convert to fraction form
    67,071/142,138 = 142,138/x
  3. Step 3: Cross multiply
    67,071x = 142,138 × 142,138
  4. Step 4: Simplify right side
    67,071x = 20,203,211,044
  5. Step 5: Solve for x
    x = 20,203,211,044/67,071
  6. Step 6: Final answer
    x = 301,221.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.