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Finding the Third Proportional to 124,616 and 273,356

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Solution

The third proportional to 124,616 and 273,356 is: 599,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,616 : 273,356 = 273,356 : x
  2. Step 2: Convert to fraction form
    124,616/273,356 = 273,356/x
  3. Step 3: Cross multiply
    124,616x = 273,356 × 273,356
  4. Step 4: Simplify right side
    124,616x = 74,723,502,736
  5. Step 5: Solve for x
    x = 74,723,502,736/124,616
  6. Step 6: Final answer
    x = 599,630.09

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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.