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Finding the Third Proportional to 112,364 and 168,228

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Solution

The third proportional to 112,364 and 168,228 is: 251,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,364 : 168,228 = 168,228 : x
  2. Step 2: Convert to fraction form
    112,364/168,228 = 168,228/x
  3. Step 3: Cross multiply
    112,364x = 168,228 × 168,228
  4. Step 4: Simplify right side
    112,364x = 28,300,659,984
  5. Step 5: Solve for x
    x = 28,300,659,984/112,364
  6. Step 6: Final answer
    x = 251,865.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.