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Finding the Third Proportional to 58,039 and 123,668

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Solution

The third proportional to 58,039 and 123,668 is: 263,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,039 : 123,668 = 123,668 : x
  2. Step 2: Convert to fraction form
    58,039/123,668 = 123,668/x
  3. Step 3: Cross multiply
    58,039x = 123,668 × 123,668
  4. Step 4: Simplify right side
    58,039x = 15,293,774,224
  5. Step 5: Solve for x
    x = 15,293,774,224/58,039
  6. Step 6: Final answer
    x = 263,508.58

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.