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Finding the Third Proportional to 113,057 and 245,796

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Solution

The third proportional to 113,057 and 245,796 is: 534,382.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,057 : 245,796 = 245,796 : x
  2. Step 2: Convert to fraction form
    113,057/245,796 = 245,796/x
  3. Step 3: Cross multiply
    113,057x = 245,796 × 245,796
  4. Step 4: Simplify right side
    113,057x = 60,415,673,616
  5. Step 5: Solve for x
    x = 60,415,673,616/113,057
  6. Step 6: Final answer
    x = 534,382.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.