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Finding the Third Proportional to 107,728 and 235,976

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Solution

The third proportional to 107,728 and 235,976 is: 516,900.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,728 : 235,976 = 235,976 : x
  2. Step 2: Convert to fraction form
    107,728/235,976 = 235,976/x
  3. Step 3: Cross multiply
    107,728x = 235,976 × 235,976
  4. Step 4: Simplify right side
    107,728x = 55,684,672,576
  5. Step 5: Solve for x
    x = 55,684,672,576/107,728
  6. Step 6: Final answer
    x = 516,900.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.