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Finding the Third Proportional to 80,530 and 118,021

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Solution

The third proportional to 80,530 and 118,021 is: 172,966.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530 : 118,021 = 118,021 : x
  2. Step 2: Convert to fraction form
    80,530/118,021 = 118,021/x
  3. Step 3: Cross multiply
    80,530x = 118,021 × 118,021
  4. Step 4: Simplify right side
    80,530x = 13,928,956,441
  5. Step 5: Solve for x
    x = 13,928,956,441/80,530
  6. Step 6: Final answer
    x = 172,966.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.