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Finding the Third Proportional to 139,869 and 210,964

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Solution

The third proportional to 139,869 and 210,964 is: 318,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869 : 210,964 = 210,964 : x
  2. Step 2: Convert to fraction form
    139,869/210,964 = 210,964/x
  3. Step 3: Cross multiply
    139,869x = 210,964 × 210,964
  4. Step 4: Simplify right side
    139,869x = 44,505,809,296
  5. Step 5: Solve for x
    x = 44,505,809,296/139,869
  6. Step 6: Final answer
    x = 318,196.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.