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Finding the Third Proportional to 80,104 and 116,024

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Solution

The third proportional to 80,104 and 116,024 is: 168,051.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,104 : 116,024 = 116,024 : x
  2. Step 2: Convert to fraction form
    80,104/116,024 = 116,024/x
  3. Step 3: Cross multiply
    80,104x = 116,024 × 116,024
  4. Step 4: Simplify right side
    80,104x = 13,461,568,576
  5. Step 5: Solve for x
    x = 13,461,568,576/80,104
  6. Step 6: Final answer
    x = 168,051.14

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.