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Finding the Third Proportional to 69,081 and 106,675.50

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Solution

The third proportional to 69,081 and 106,675.50 is: 164,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,081 : 106,675.50 = 106,675.50 : x
  2. Step 2: Convert to fraction form
    69,081/106,675.50 = 106,675.50/x
  3. Step 3: Cross multiply
    69,081x = 106,675.50 × 106,675.50
  4. Step 4: Simplify right side
    69,081x = 11,379,662,300.25
  5. Step 5: Solve for x
    x = 11,379,662,300.25/69,081
  6. Step 6: Final answer
    x = 164,729.26

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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.