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Finding the Third Proportional to 112,320 and 168,936

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Solution

The third proportional to 112,320 and 168,936 is: 254,089.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,320 : 168,936 = 168,936 : x
  2. Step 2: Convert to fraction form
    112,320/168,936 = 168,936/x
  3. Step 3: Cross multiply
    112,320x = 168,936 × 168,936
  4. Step 4: Simplify right side
    112,320x = 28,539,372,096
  5. Step 5: Solve for x
    x = 28,539,372,096/112,320
  6. Step 6: Final answer
    x = 254,089.85

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