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Finding the Third Proportional to 113,704 and 248,112

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Solution

The third proportional to 113,704 and 248,112 is: 541,401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,704 : 248,112 = 248,112 : x
  2. Step 2: Convert to fraction form
    113,704/248,112 = 248,112/x
  3. Step 3: Cross multiply
    113,704x = 248,112 × 248,112
  4. Step 4: Simplify right side
    113,704x = 61,559,564,544
  5. Step 5: Solve for x
    x = 61,559,564,544/113,704
  6. Step 6: Final answer
    x = 541,401.93

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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.