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Finding the Third Proportional to 139,032 and 282,951

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Solution

The third proportional to 139,032 and 282,951 is: 575,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,032 : 282,951 = 282,951 : x
  2. Step 2: Convert to fraction form
    139,032/282,951 = 282,951/x
  3. Step 3: Cross multiply
    139,032x = 282,951 × 282,951
  4. Step 4: Simplify right side
    139,032x = 80,061,268,401
  5. Step 5: Solve for x
    x = 80,061,268,401/139,032
  6. Step 6: Final answer
    x = 575,847.78

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Why These Related Problems?

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