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Finding the Third Proportional to 69,083 and 149,055

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Solution

The third proportional to 69,083 and 149,055 is: 321,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,083 : 149,055 = 149,055 : x
  2. Step 2: Convert to fraction form
    69,083/149,055 = 149,055/x
  3. Step 3: Cross multiply
    69,083x = 149,055 × 149,055
  4. Step 4: Simplify right side
    69,083x = 22,217,393,025
  5. Step 5: Solve for x
    x = 22,217,393,025/69,083
  6. Step 6: Final answer
    x = 321,604.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.