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Finding the Third Proportional to 56,936 and 124,960

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Solution

The third proportional to 56,936 and 124,960 is: 274,255.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,936 : 124,960 = 124,960 : x
  2. Step 2: Convert to fraction form
    56,936/124,960 = 124,960/x
  3. Step 3: Cross multiply
    56,936x = 124,960 × 124,960
  4. Step 4: Simplify right side
    56,936x = 15,615,001,600
  5. Step 5: Solve for x
    x = 15,615,001,600/56,936
  6. Step 6: Final answer
    x = 274,255.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.