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Finding the Third Proportional to 30,860 and 67,120

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Solution

The third proportional to 30,860 and 67,120 is: 145,984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860 : 67,120 = 67,120 : x
  2. Step 2: Convert to fraction form
    30,860/67,120 = 67,120/x
  3. Step 3: Cross multiply
    30,860x = 67,120 × 67,120
  4. Step 4: Simplify right side
    30,860x = 4,505,094,400
  5. Step 5: Solve for x
    x = 4,505,094,400/30,860
  6. Step 6: Final answer
    x = 145,984.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.