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Finding the Third Proportional to 57,024 and 138,186

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Solution

The third proportional to 57,024 and 138,186 is: 334,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,024 : 138,186 = 138,186 : x
  2. Step 2: Convert to fraction form
    57,024/138,186 = 138,186/x
  3. Step 3: Cross multiply
    57,024x = 138,186 × 138,186
  4. Step 4: Simplify right side
    57,024x = 19,095,370,596
  5. Step 5: Solve for x
    x = 19,095,370,596/57,024
  6. Step 6: Final answer
    x = 334,865.51

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.