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Finding the Third Proportional to 51,939.56 and 112,185

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Solution

The third proportional to 51,939.56 and 112,185 is: 242,309.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,939.56 : 112,185 = 112,185 : x
  2. Step 2: Convert to fraction form
    51,939.56/112,185 = 112,185/x
  3. Step 3: Cross multiply
    51,939.56x = 112,185 × 112,185
  4. Step 4: Simplify right side
    51,939.56x = 12,585,474,225
  5. Step 5: Solve for x
    x = 12,585,474,225/51,939.56
  6. Step 6: Final answer
    x = 242,309.98

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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.