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Finding the Third Proportional to 107,960 and 237,176

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Solution

The third proportional to 107,960 and 237,176 is: 521,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,960 : 237,176 = 237,176 : x
  2. Step 2: Convert to fraction form
    107,960/237,176 = 237,176/x
  3. Step 3: Cross multiply
    107,960x = 237,176 × 237,176
  4. Step 4: Simplify right side
    107,960x = 56,252,454,976
  5. Step 5: Solve for x
    x = 56,252,454,976/107,960
  6. Step 6: Final answer
    x = 521,049.05

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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.