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Finding the Third Proportional to 139,761 and 301,653

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Solution

The third proportional to 139,761 and 301,653 is: 651,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,761 : 301,653 = 301,653 : x
  2. Step 2: Convert to fraction form
    139,761/301,653 = 301,653/x
  3. Step 3: Cross multiply
    139,761x = 301,653 × 301,653
  4. Step 4: Simplify right side
    139,761x = 90,994,532,409
  5. Step 5: Solve for x
    x = 90,994,532,409/139,761
  6. Step 6: Final answer
    x = 651,072.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.