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Finding the Third Proportional to 116,571 and 180,005

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Solution

The third proportional to 116,571 and 180,005 is: 277,957.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,571 : 180,005 = 180,005 : x
  2. Step 2: Convert to fraction form
    116,571/180,005 = 180,005/x
  3. Step 3: Cross multiply
    116,571x = 180,005 × 180,005
  4. Step 4: Simplify right side
    116,571x = 32,401,800,025
  5. Step 5: Solve for x
    x = 32,401,800,025/116,571
  6. Step 6: Final answer
    x = 277,957.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.