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Finding the Third Proportional to 112,232 and 175,096

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Solution

The third proportional to 112,232 and 175,096 is: 273,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,232 : 175,096 = 175,096 : x
  2. Step 2: Convert to fraction form
    112,232/175,096 = 175,096/x
  3. Step 3: Cross multiply
    112,232x = 175,096 × 175,096
  4. Step 4: Simplify right side
    112,232x = 30,658,609,216
  5. Step 5: Solve for x
    x = 30,658,609,216/112,232
  6. Step 6: Final answer
    x = 273,171.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.