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Finding the Third Proportional to 69,012 and 142,434

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Solution

The third proportional to 69,012 and 142,434 is: 293,969.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,012 : 142,434 = 142,434 : x
  2. Step 2: Convert to fraction form
    69,012/142,434 = 142,434/x
  3. Step 3: Cross multiply
    69,012x = 142,434 × 142,434
  4. Step 4: Simplify right side
    69,012x = 20,287,444,356
  5. Step 5: Solve for x
    x = 20,287,444,356/69,012
  6. Step 6: Final answer
    x = 293,969.81

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.