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Finding the Third Proportional to 68,050 and 146,467

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Solution

The third proportional to 68,050 and 146,467 is: 315,247.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,050 : 146,467 = 146,467 : x
  2. Step 2: Convert to fraction form
    68,050/146,467 = 146,467/x
  3. Step 3: Cross multiply
    68,050x = 146,467 × 146,467
  4. Step 4: Simplify right side
    68,050x = 21,452,582,089
  5. Step 5: Solve for x
    x = 21,452,582,089/68,050
  6. Step 6: Final answer
    x = 315,247.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.