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Finding the Third Proportional to 60,544 and 128,512

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Solution

The third proportional to 60,544 and 128,512 is: 272,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,544 : 128,512 = 128,512 : x
  2. Step 2: Convert to fraction form
    60,544/128,512 = 128,512/x
  3. Step 3: Cross multiply
    60,544x = 128,512 × 128,512
  4. Step 4: Simplify right side
    60,544x = 16,515,334,144
  5. Step 5: Solve for x
    x = 16,515,334,144/60,544
  6. Step 6: Final answer
    x = 272,782.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.