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Finding the Third Proportional to 67,296 and 146,378

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Solution

The third proportional to 67,296 and 146,378 is: 318,392.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296 : 146,378 = 146,378 : x
  2. Step 2: Convert to fraction form
    67,296/146,378 = 146,378/x
  3. Step 3: Cross multiply
    67,296x = 146,378 × 146,378
  4. Step 4: Simplify right side
    67,296x = 21,426,518,884
  5. Step 5: Solve for x
    x = 21,426,518,884/67,296
  6. Step 6: Final answer
    x = 318,392.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.