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Finding the Third Proportional to 42,708 and 67,002

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Solution

The third proportional to 42,708 and 67,002 is: 105,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,708 : 67,002 = 67,002 : x
  2. Step 2: Convert to fraction form
    42,708/67,002 = 67,002/x
  3. Step 3: Cross multiply
    42,708x = 67,002 × 67,002
  4. Step 4: Simplify right side
    42,708x = 4,489,268,004
  5. Step 5: Solve for x
    x = 4,489,268,004/42,708
  6. Step 6: Final answer
    x = 105,115.39

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.