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Finding the Third Proportional to 67,069 and 142,133

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Solution

The third proportional to 67,069 and 142,133 is: 301,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,069 : 142,133 = 142,133 : x
  2. Step 2: Convert to fraction form
    67,069/142,133 = 142,133/x
  3. Step 3: Cross multiply
    67,069x = 142,133 × 142,133
  4. Step 4: Simplify right side
    67,069x = 20,201,789,689
  5. Step 5: Solve for x
    x = 20,201,789,689/67,069
  6. Step 6: Final answer
    x = 301,209.05

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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.