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Finding the Third Proportional to 67,003 and 141,781

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Solution

The third proportional to 67,003 and 141,781 is: 300,014.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,003 : 141,781 = 141,781 : x
  2. Step 2: Convert to fraction form
    67,003/141,781 = 141,781/x
  3. Step 3: Cross multiply
    67,003x = 141,781 × 141,781
  4. Step 4: Simplify right side
    67,003x = 20,101,851,961
  5. Step 5: Solve for x
    x = 20,101,851,961/67,003
  6. Step 6: Final answer
    x = 300,014.21

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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.