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Finding the Third Proportional to 107,097 and 235,214

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Solution

The third proportional to 107,097 and 235,214 is: 516,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,097 : 235,214 = 235,214 : x
  2. Step 2: Convert to fraction form
    107,097/235,214 = 235,214/x
  3. Step 3: Cross multiply
    107,097x = 235,214 × 235,214
  4. Step 4: Simplify right side
    107,097x = 55,325,625,796
  5. Step 5: Solve for x
    x = 55,325,625,796/107,097
  6. Step 6: Final answer
    x = 516,593.61

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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.