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Finding the Third Proportional to 69,036 and 140,970

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Solution

The third proportional to 69,036 and 140,970 is: 287,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,036 : 140,970 = 140,970 : x
  2. Step 2: Convert to fraction form
    69,036/140,970 = 140,970/x
  3. Step 3: Cross multiply
    69,036x = 140,970 × 140,970
  4. Step 4: Simplify right side
    69,036x = 19,872,540,900
  5. Step 5: Solve for x
    x = 19,872,540,900/69,036
  6. Step 6: Final answer
    x = 287,857.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.