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Finding the Third Proportional to 56,096 and 84,185

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Solution

The third proportional to 56,096 and 84,185 is: 126,339.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 84,185 = 84,185 : x
  2. Step 2: Convert to fraction form
    56,096/84,185 = 84,185/x
  3. Step 3: Cross multiply
    56,096x = 84,185 × 84,185
  4. Step 4: Simplify right side
    56,096x = 7,087,114,225
  5. Step 5: Solve for x
    x = 7,087,114,225/56,096
  6. Step 6: Final answer
    x = 126,339.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.