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Finding the Third Proportional to 80,530 and 118,427

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Solution

The third proportional to 80,530 and 118,427 is: 174,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530 : 118,427 = 118,427 : x
  2. Step 2: Convert to fraction form
    80,530/118,427 = 118,427/x
  3. Step 3: Cross multiply
    80,530x = 118,427 × 118,427
  4. Step 4: Simplify right side
    80,530x = 14,024,954,329
  5. Step 5: Solve for x
    x = 14,024,954,329/80,530
  6. Step 6: Final answer
    x = 174,158.13

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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.