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Finding the Third Proportional to 62,312 and 126,544

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Solution

The third proportional to 62,312 and 126,544 is: 256,987.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,312 : 126,544 = 126,544 : x
  2. Step 2: Convert to fraction form
    62,312/126,544 = 126,544/x
  3. Step 3: Cross multiply
    62,312x = 126,544 × 126,544
  4. Step 4: Simplify right side
    62,312x = 16,013,383,936
  5. Step 5: Solve for x
    x = 16,013,383,936/62,312
  6. Step 6: Final answer
    x = 256,987.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.