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Finding the Third Proportional to 67,071.94 and 142,139.81

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Solution

The third proportional to 67,071.94 and 142,139.81 is: 301,224.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,071.94 : 142,139.81 = 142,139.81 : x
  2. Step 2: Convert to fraction form
    67,071.94/142,139.81 = 142,139.81/x
  3. Step 3: Cross multiply
    67,071.94x = 142,139.81 × 142,139.81
  4. Step 4: Simplify right side
    67,071.94x = 20,203,726,297.54
  5. Step 5: Solve for x
    x = 20,203,726,297.54/67,071.94
  6. Step 6: Final answer
    x = 301,224.73

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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.