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Finding the Third Proportional to 57,184 and 118,274

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Solution

The third proportional to 57,184 and 118,274 is: 244,626.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,184 : 118,274 = 118,274 : x
  2. Step 2: Convert to fraction form
    57,184/118,274 = 118,274/x
  3. Step 3: Cross multiply
    57,184x = 118,274 × 118,274
  4. Step 4: Simplify right side
    57,184x = 13,988,739,076
  5. Step 5: Solve for x
    x = 13,988,739,076/57,184
  6. Step 6: Final answer
    x = 244,626.80

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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.