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Finding the Third Proportional to 56,954 and 121,238

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Solution

The third proportional to 56,954 and 121,238 is: 258,079.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,954 : 121,238 = 121,238 : x
  2. Step 2: Convert to fraction form
    56,954/121,238 = 121,238/x
  3. Step 3: Cross multiply
    56,954x = 121,238 × 121,238
  4. Step 4: Simplify right side
    56,954x = 14,698,652,644
  5. Step 5: Solve for x
    x = 14,698,652,644/56,954
  6. Step 6: Final answer
    x = 258,079.37

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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.