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Finding the Third Proportional to 107,069 and 235,324

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Solution

The third proportional to 107,069 and 235,324 is: 517,212.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,069 : 235,324 = 235,324 : x
  2. Step 2: Convert to fraction form
    107,069/235,324 = 235,324/x
  3. Step 3: Cross multiply
    107,069x = 235,324 × 235,324
  4. Step 4: Simplify right side
    107,069x = 55,377,384,976
  5. Step 5: Solve for x
    x = 55,377,384,976/107,069
  6. Step 6: Final answer
    x = 517,212.12

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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.