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Finding the Third Proportional to 57,054 and 125,772

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Solution

The third proportional to 57,054 and 125,772 is: 277,256.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,054 : 125,772 = 125,772 : x
  2. Step 2: Convert to fraction form
    57,054/125,772 = 125,772/x
  3. Step 3: Cross multiply
    57,054x = 125,772 × 125,772
  4. Step 4: Simplify right side
    57,054x = 15,818,595,984
  5. Step 5: Solve for x
    x = 15,818,595,984/57,054
  6. Step 6: Final answer
    x = 277,256.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.