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Finding the Third Proportional to 89,307 and 126,942.75

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Solution

The third proportional to 89,307 and 126,942.75 is: 180,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,307 : 126,942.75 = 126,942.75 : x
  2. Step 2: Convert to fraction form
    89,307/126,942.75 = 126,942.75/x
  3. Step 3: Cross multiply
    89,307x = 126,942.75 × 126,942.75
  4. Step 4: Simplify right side
    89,307x = 16,114,461,777.56
  5. Step 5: Solve for x
    x = 16,114,461,777.56/89,307
  6. Step 6: Final answer
    x = 180,438.96

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.