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Finding the Third Proportional to 57,108 and 119,388

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Solution

The third proportional to 57,108 and 119,388 is: 249,588.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,108 : 119,388 = 119,388 : x
  2. Step 2: Convert to fraction form
    57,108/119,388 = 119,388/x
  3. Step 3: Cross multiply
    57,108x = 119,388 × 119,388
  4. Step 4: Simplify right side
    57,108x = 14,253,494,544
  5. Step 5: Solve for x
    x = 14,253,494,544/57,108
  6. Step 6: Final answer
    x = 249,588.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.