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Finding the Third Proportional to 80,126 and 118,954

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Solution

The third proportional to 80,126 and 118,954 is: 176,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,126 : 118,954 = 118,954 : x
  2. Step 2: Convert to fraction form
    80,126/118,954 = 118,954/x
  3. Step 3: Cross multiply
    80,126x = 118,954 × 118,954
  4. Step 4: Simplify right side
    80,126x = 14,150,054,116
  5. Step 5: Solve for x
    x = 14,150,054,116/80,126
  6. Step 6: Final answer
    x = 176,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.