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Finding the Third Proportional to 57,081 and 118,140

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Solution

The third proportional to 57,081 and 118,140 is: 244,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081 : 118,140 = 118,140 : x
  2. Step 2: Convert to fraction form
    57,081/118,140 = 118,140/x
  3. Step 3: Cross multiply
    57,081x = 118,140 × 118,140
  4. Step 4: Simplify right side
    57,081x = 13,957,059,600
  5. Step 5: Solve for x
    x = 13,957,059,600/57,081
  6. Step 6: Final answer
    x = 244,513.23

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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.