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Finding the Third Proportional to 41,472 and 88,064

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Solution

The third proportional to 41,472 and 88,064 is: 187,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,472 : 88,064 = 88,064 : x
  2. Step 2: Convert to fraction form
    41,472/88,064 = 88,064/x
  3. Step 3: Cross multiply
    41,472x = 88,064 × 88,064
  4. Step 4: Simplify right side
    41,472x = 7,755,268,096
  5. Step 5: Solve for x
    x = 7,755,268,096/41,472
  6. Step 6: Final answer
    x = 187,000.10

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.