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Finding the Third Proportional to 40,956 and 89,196

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Solution

The third proportional to 40,956 and 89,196 is: 194,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,956 : 89,196 = 89,196 : x
  2. Step 2: Convert to fraction form
    40,956/89,196 = 89,196/x
  3. Step 3: Cross multiply
    40,956x = 89,196 × 89,196
  4. Step 4: Simplify right side
    40,956x = 7,955,926,416
  5. Step 5: Solve for x
    x = 7,955,926,416/40,956
  6. Step 6: Final answer
    x = 194,255.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.