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Finding the Third Proportional to 67,958 and 146,368

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Solution

The third proportional to 67,958 and 146,368 is: 315,247.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,958 : 146,368 = 146,368 : x
  2. Step 2: Convert to fraction form
    67,958/146,368 = 146,368/x
  3. Step 3: Cross multiply
    67,958x = 146,368 × 146,368
  4. Step 4: Simplify right side
    67,958x = 21,423,591,424
  5. Step 5: Solve for x
    x = 21,423,591,424/67,958
  6. Step 6: Final answer
    x = 315,247.53

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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.