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Finding the Third Proportional to 57,738 and 124,071

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Solution

The third proportional to 57,738 and 124,071 is: 266,611.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,738 : 124,071 = 124,071 : x
  2. Step 2: Convert to fraction form
    57,738/124,071 = 124,071/x
  3. Step 3: Cross multiply
    57,738x = 124,071 × 124,071
  4. Step 4: Simplify right side
    57,738x = 15,393,613,041
  5. Step 5: Solve for x
    x = 15,393,613,041/57,738
  6. Step 6: Final answer
    x = 266,611.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.