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Finding the Third Proportional to 69,322 and 141,922

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Solution

The third proportional to 69,322 and 141,922 is: 290,555.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,322 : 141,922 = 141,922 : x
  2. Step 2: Convert to fraction form
    69,322/141,922 = 141,922/x
  3. Step 3: Cross multiply
    69,322x = 141,922 × 141,922
  4. Step 4: Simplify right side
    69,322x = 20,141,854,084
  5. Step 5: Solve for x
    x = 20,141,854,084/69,322
  6. Step 6: Final answer
    x = 290,555.01

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