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Finding the Third Proportional to 112,054 and 239,084

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Solution

The third proportional to 112,054 and 239,084 is: 510,121.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,054 : 239,084 = 239,084 : x
  2. Step 2: Convert to fraction form
    112,054/239,084 = 239,084/x
  3. Step 3: Cross multiply
    112,054x = 239,084 × 239,084
  4. Step 4: Simplify right side
    112,054x = 57,161,159,056
  5. Step 5: Solve for x
    x = 57,161,159,056/112,054
  6. Step 6: Final answer
    x = 510,121.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.