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Finding the Third Proportional to 112,832 and 245,096

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Solution

The third proportional to 112,832 and 245,096 is: 532,402.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,832 : 245,096 = 245,096 : x
  2. Step 2: Convert to fraction form
    112,832/245,096 = 245,096/x
  3. Step 3: Cross multiply
    112,832x = 245,096 × 245,096
  4. Step 4: Simplify right side
    112,832x = 60,072,049,216
  5. Step 5: Solve for x
    x = 60,072,049,216/112,832
  6. Step 6: Final answer
    x = 532,402.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.