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Finding the Third Proportional to 58,211 and 124,054

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Solution

The third proportional to 58,211 and 124,054 is: 264,372.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,211 : 124,054 = 124,054 : x
  2. Step 2: Convert to fraction form
    58,211/124,054 = 124,054/x
  3. Step 3: Cross multiply
    58,211x = 124,054 × 124,054
  4. Step 4: Simplify right side
    58,211x = 15,389,394,916
  5. Step 5: Solve for x
    x = 15,389,394,916/58,211
  6. Step 6: Final answer
    x = 264,372.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.