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Finding the Third Proportional to 57,362 and 125,308

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Solution

The third proportional to 57,362 and 125,308 is: 273,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,362 : 125,308 = 125,308 : x
  2. Step 2: Convert to fraction form
    57,362/125,308 = 125,308/x
  3. Step 3: Cross multiply
    57,362x = 125,308 × 125,308
  4. Step 4: Simplify right side
    57,362x = 15,702,094,864
  5. Step 5: Solve for x
    x = 15,702,094,864/57,362
  6. Step 6: Final answer
    x = 273,736.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.