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Finding the Third Proportional to 69,052 and 106,631

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Solution

The third proportional to 69,052 and 106,631 is: 164,660.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,052 : 106,631 = 106,631 : x
  2. Step 2: Convert to fraction form
    69,052/106,631 = 106,631/x
  3. Step 3: Cross multiply
    69,052x = 106,631 × 106,631
  4. Step 4: Simplify right side
    69,052x = 11,370,170,161
  5. Step 5: Solve for x
    x = 11,370,170,161/69,052
  6. Step 6: Final answer
    x = 164,660.98

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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.