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Finding the Third Proportional to 113,198 and 165,786

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Solution

The third proportional to 113,198 and 165,786 is: 242,804.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,198 : 165,786 = 165,786 : x
  2. Step 2: Convert to fraction form
    113,198/165,786 = 165,786/x
  3. Step 3: Cross multiply
    113,198x = 165,786 × 165,786
  4. Step 4: Simplify right side
    113,198x = 27,484,997,796
  5. Step 5: Solve for x
    x = 27,484,997,796/113,198
  6. Step 6: Final answer
    x = 242,804.62

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.