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Finding the Third Proportional to 106,876 and 235,196

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Solution

The third proportional to 106,876 and 235,196 is: 517,582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876 : 235,196 = 235,196 : x
  2. Step 2: Convert to fraction form
    106,876/235,196 = 235,196/x
  3. Step 3: Cross multiply
    106,876x = 235,196 × 235,196
  4. Step 4: Simplify right side
    106,876x = 55,317,158,416
  5. Step 5: Solve for x
    x = 55,317,158,416/106,876
  6. Step 6: Final answer
    x = 517,582.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.