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Finding the Third Proportional to 123,960 and 254,512

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Solution

The third proportional to 123,960 and 254,512 is: 522,558.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,960 : 254,512 = 254,512 : x
  2. Step 2: Convert to fraction form
    123,960/254,512 = 254,512/x
  3. Step 3: Cross multiply
    123,960x = 254,512 × 254,512
  4. Step 4: Simplify right side
    123,960x = 64,776,358,144
  5. Step 5: Solve for x
    x = 64,776,358,144/123,960
  6. Step 6: Final answer
    x = 522,558.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.