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Finding the Third Proportional to 107,713.50 and 234,096

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Solution

The third proportional to 107,713.50 and 234,096 is: 508,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,713.50 : 234,096 = 234,096 : x
  2. Step 2: Convert to fraction form
    107,713.50/234,096 = 234,096/x
  3. Step 3: Cross multiply
    107,713.50x = 234,096 × 234,096
  4. Step 4: Simplify right side
    107,713.50x = 54,800,937,216
  5. Step 5: Solve for x
    x = 54,800,937,216/107,713.50
  6. Step 6: Final answer
    x = 508,765.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.