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Finding the Third Proportional to 57,185 and 125,274

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Solution

The third proportional to 57,185 and 125,274 is: 274,435.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,185 : 125,274 = 125,274 : x
  2. Step 2: Convert to fraction form
    57,185/125,274 = 125,274/x
  3. Step 3: Cross multiply
    57,185x = 125,274 × 125,274
  4. Step 4: Simplify right side
    57,185x = 15,693,575,076
  5. Step 5: Solve for x
    x = 15,693,575,076/57,185
  6. Step 6: Final answer
    x = 274,435.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.