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Finding the Third Proportional to 139,022 and 282,956

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Solution

The third proportional to 139,022 and 282,956 is: 575,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,022 : 282,956 = 282,956 : x
  2. Step 2: Convert to fraction form
    139,022/282,956 = 282,956/x
  3. Step 3: Cross multiply
    139,022x = 282,956 × 282,956
  4. Step 4: Simplify right side
    139,022x = 80,064,097,936
  5. Step 5: Solve for x
    x = 80,064,097,936/139,022
  6. Step 6: Final answer
    x = 575,909.55

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.