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Finding the Third Proportional to 57,180 and 118,265

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Solution

The third proportional to 57,180 and 118,265 is: 244,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,180 : 118,265 = 118,265 : x
  2. Step 2: Convert to fraction form
    57,180/118,265 = 118,265/x
  3. Step 3: Cross multiply
    57,180x = 118,265 × 118,265
  4. Step 4: Simplify right side
    57,180x = 13,986,610,225
  5. Step 5: Solve for x
    x = 13,986,610,225/57,180
  6. Step 6: Final answer
    x = 244,606.68

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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.