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Finding the Third Proportional to 124,768 and 273,668

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Solution

The third proportional to 124,768 and 273,668 is: 600,267.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,768 : 273,668 = 273,668 : x
  2. Step 2: Convert to fraction form
    124,768/273,668 = 273,668/x
  3. Step 3: Cross multiply
    124,768x = 273,668 × 273,668
  4. Step 4: Simplify right side
    124,768x = 74,894,174,224
  5. Step 5: Solve for x
    x = 74,894,174,224/124,768
  6. Step 6: Final answer
    x = 600,267.49

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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.