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Finding the Third Proportional to 107,758 and 235,096

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Solution

The third proportional to 107,758 and 235,096 is: 512,909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,758 : 235,096 = 235,096 : x
  2. Step 2: Convert to fraction form
    107,758/235,096 = 235,096/x
  3. Step 3: Cross multiply
    107,758x = 235,096 × 235,096
  4. Step 4: Simplify right side
    107,758x = 55,270,129,216
  5. Step 5: Solve for x
    x = 55,270,129,216/107,758
  6. Step 6: Final answer
    x = 512,909.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.