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Finding the Third Proportional to 30,854 and 67,108

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Solution

The third proportional to 30,854 and 67,108 is: 145,961.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,854 : 67,108 = 67,108 : x
  2. Step 2: Convert to fraction form
    30,854/67,108 = 67,108/x
  3. Step 3: Cross multiply
    30,854x = 67,108 × 67,108
  4. Step 4: Simplify right side
    30,854x = 4,503,483,664
  5. Step 5: Solve for x
    x = 4,503,483,664/30,854
  6. Step 6: Final answer
    x = 145,961.10

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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.