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Finding the Third Proportional to 43,416 and 94,176

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Solution

The third proportional to 43,416 and 94,176 is: 204,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,416 : 94,176 = 94,176 : x
  2. Step 2: Convert to fraction form
    43,416/94,176 = 94,176/x
  3. Step 3: Cross multiply
    43,416x = 94,176 × 94,176
  4. Step 4: Simplify right side
    43,416x = 8,869,118,976
  5. Step 5: Solve for x
    x = 8,869,118,976/43,416
  6. Step 6: Final answer
    x = 204,282.27

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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.