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Finding the Third Proportional to 67,067.50 and 142,130

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Solution

The third proportional to 67,067.50 and 142,130 is: 301,203.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,067.50 : 142,130 = 142,130 : x
  2. Step 2: Convert to fraction form
    67,067.50/142,130 = 142,130/x
  3. Step 3: Cross multiply
    67,067.50x = 142,130 × 142,130
  4. Step 4: Simplify right side
    67,067.50x = 20,200,936,900
  5. Step 5: Solve for x
    x = 20,200,936,900/67,067.50
  6. Step 6: Final answer
    x = 301,203.07

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