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Finding the Third Proportional to 57,288 and 118,504

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Solution

The third proportional to 57,288 and 118,504 is: 245,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,288 : 118,504 = 118,504 : x
  2. Step 2: Convert to fraction form
    57,288/118,504 = 118,504/x
  3. Step 3: Cross multiply
    57,288x = 118,504 × 118,504
  4. Step 4: Simplify right side
    57,288x = 14,043,198,016
  5. Step 5: Solve for x
    x = 14,043,198,016/57,288
  6. Step 6: Final answer
    x = 245,133.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.