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Finding the Third Proportional to 100,696 and 235,179

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Solution

The third proportional to 100,696 and 235,179 is: 549,268.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696 : 235,179 = 235,179 : x
  2. Step 2: Convert to fraction form
    100,696/235,179 = 235,179/x
  3. Step 3: Cross multiply
    100,696x = 235,179 × 235,179
  4. Step 4: Simplify right side
    100,696x = 55,309,162,041
  5. Step 5: Solve for x
    x = 55,309,162,041/100,696
  6. Step 6: Final answer
    x = 549,268.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.