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Finding the Third Proportional to 91,536 and 122,064

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Solution

The third proportional to 91,536 and 122,064 is: 162,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,536 : 122,064 = 122,064 : x
  2. Step 2: Convert to fraction form
    91,536/122,064 = 122,064/x
  3. Step 3: Cross multiply
    91,536x = 122,064 × 122,064
  4. Step 4: Simplify right side
    91,536x = 14,899,620,096
  5. Step 5: Solve for x
    x = 14,899,620,096/91,536
  6. Step 6: Final answer
    x = 162,773.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.