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Finding the Third Proportional to 51,192 and 110,152

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Solution

The third proportional to 51,192 and 110,152 is: 237,018.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192 : 110,152 = 110,152 : x
  2. Step 2: Convert to fraction form
    51,192/110,152 = 110,152/x
  3. Step 3: Cross multiply
    51,192x = 110,152 × 110,152
  4. Step 4: Simplify right side
    51,192x = 12,133,463,104
  5. Step 5: Solve for x
    x = 12,133,463,104/51,192
  6. Step 6: Final answer
    x = 237,018.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.