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Finding the Third Proportional to 69,158 and 106,807

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Solution

The third proportional to 69,158 and 106,807 is: 164,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,158 : 106,807 = 106,807 : x
  2. Step 2: Convert to fraction form
    69,158/106,807 = 106,807/x
  3. Step 3: Cross multiply
    69,158x = 106,807 × 106,807
  4. Step 4: Simplify right side
    69,158x = 11,407,735,249
  5. Step 5: Solve for x
    x = 11,407,735,249/69,158
  6. Step 6: Final answer
    x = 164,951.78

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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.