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Finding the Third Proportional to 106,876 and 235,080

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Solution

The third proportional to 106,876 and 235,080 is: 517,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,876 : 235,080 = 235,080 : x
  2. Step 2: Convert to fraction form
    106,876/235,080 = 235,080/x
  3. Step 3: Cross multiply
    106,876x = 235,080 × 235,080
  4. Step 4: Simplify right side
    106,876x = 55,262,606,400
  5. Step 5: Solve for x
    x = 55,262,606,400/106,876
  6. Step 6: Final answer
    x = 517,072.18

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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.