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Finding the Third Proportional to 68,212 and 149,064

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Solution

The third proportional to 68,212 and 149,064 is: 325,750.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,212 : 149,064 = 149,064 : x
  2. Step 2: Convert to fraction form
    68,212/149,064 = 149,064/x
  3. Step 3: Cross multiply
    68,212x = 149,064 × 149,064
  4. Step 4: Simplify right side
    68,212x = 22,220,076,096
  5. Step 5: Solve for x
    x = 22,220,076,096/68,212
  6. Step 6: Final answer
    x = 325,750.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.