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Finding the Third Proportional to 69,039 and 106,083

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Solution

The third proportional to 69,039 and 106,083 is: 163,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,039 : 106,083 = 106,083 : x
  2. Step 2: Convert to fraction form
    69,039/106,083 = 106,083/x
  3. Step 3: Cross multiply
    69,039x = 106,083 × 106,083
  4. Step 4: Simplify right side
    69,039x = 11,253,602,889
  5. Step 5: Solve for x
    x = 11,253,602,889/69,039
  6. Step 6: Final answer
    x = 163,003.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.