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Finding the Third Proportional to 41,672 and 89,996

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Solution

The third proportional to 41,672 and 89,996 is: 194,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,672 : 89,996 = 89,996 : x
  2. Step 2: Convert to fraction form
    41,672/89,996 = 89,996/x
  3. Step 3: Cross multiply
    41,672x = 89,996 × 89,996
  4. Step 4: Simplify right side
    41,672x = 8,099,280,016
  5. Step 5: Solve for x
    x = 8,099,280,016/41,672
  6. Step 6: Final answer
    x = 194,357.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.