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Finding the Third Proportional to 113,708 and 248,120

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Solution

The third proportional to 113,708 and 248,120 is: 541,417.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,708 : 248,120 = 248,120 : x
  2. Step 2: Convert to fraction form
    113,708/248,120 = 248,120/x
  3. Step 3: Cross multiply
    113,708x = 248,120 × 248,120
  4. Step 4: Simplify right side
    113,708x = 61,563,534,400
  5. Step 5: Solve for x
    x = 61,563,534,400/113,708
  6. Step 6: Final answer
    x = 541,417.79

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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.