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Finding the Third Proportional to 67,546.41 and 146,984.63

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Solution

The third proportional to 67,546.41 and 146,984.63 is: 319,846.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,546.41 : 146,984.63 = 146,984.63 : x
  2. Step 2: Convert to fraction form
    67,546.41/146,984.63 = 146,984.63/x
  3. Step 3: Cross multiply
    67,546.41x = 146,984.63 × 146,984.63
  4. Step 4: Simplify right side
    67,546.41x = 21,604,479,986.39
  5. Step 5: Solve for x
    x = 21,604,479,986.39/67,546.41
  6. Step 6: Final answer
    x = 319,846.48

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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.