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Finding the Third Proportional to 124,504 and 273,196

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Solution

The third proportional to 124,504 and 273,196 is: 599,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,504 : 273,196 = 273,196 : x
  2. Step 2: Convert to fraction form
    124,504/273,196 = 273,196/x
  3. Step 3: Cross multiply
    124,504x = 273,196 × 273,196
  4. Step 4: Simplify right side
    124,504x = 74,636,054,416
  5. Step 5: Solve for x
    x = 74,636,054,416/124,504
  6. Step 6: Final answer
    x = 599,467.12

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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.