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Finding the Third Proportional to 101,424 and 149,064

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Solution

The third proportional to 101,424 and 149,064 is: 219,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424 : 149,064 = 149,064 : x
  2. Step 2: Convert to fraction form
    101,424/149,064 = 149,064/x
  3. Step 3: Cross multiply
    101,424x = 149,064 × 149,064
  4. Step 4: Simplify right side
    101,424x = 22,220,076,096
  5. Step 5: Solve for x
    x = 22,220,076,096/101,424
  6. Step 6: Final answer
    x = 219,081.05

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.