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Finding the Third Proportional to 113,980 and 248,029

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Solution

The third proportional to 113,980 and 248,029 is: 539,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,980 : 248,029 = 248,029 : x
  2. Step 2: Convert to fraction form
    113,980/248,029 = 248,029/x
  3. Step 3: Cross multiply
    113,980x = 248,029 × 248,029
  4. Step 4: Simplify right side
    113,980x = 61,518,384,841
  5. Step 5: Solve for x
    x = 61,518,384,841/113,980
  6. Step 6: Final answer
    x = 539,729.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.