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Finding the Third Proportional to 113,975 and 248,018

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Solution

The third proportional to 113,975 and 248,018 is: 539,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,975 : 248,018 = 248,018 : x
  2. Step 2: Convert to fraction form
    113,975/248,018 = 248,018/x
  3. Step 3: Cross multiply
    113,975x = 248,018 × 248,018
  4. Step 4: Simplify right side
    113,975x = 61,512,928,324
  5. Step 5: Solve for x
    x = 61,512,928,324/113,975
  6. Step 6: Final answer
    x = 539,705.45

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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.