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Finding the Third Proportional to 69,330 and 141,945

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Solution

The third proportional to 69,330 and 141,945 is: 290,615.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,330 : 141,945 = 141,945 : x
  2. Step 2: Convert to fraction form
    69,330/141,945 = 141,945/x
  3. Step 3: Cross multiply
    69,330x = 141,945 × 141,945
  4. Step 4: Simplify right side
    69,330x = 20,148,383,025
  5. Step 5: Solve for x
    x = 20,148,383,025/69,330
  6. Step 6: Final answer
    x = 290,615.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.