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Finding the Third Proportional to 118,212 and 181,692

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Solution

The third proportional to 118,212 and 181,692 is: 279,260.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,212 : 181,692 = 181,692 : x
  2. Step 2: Convert to fraction form
    118,212/181,692 = 181,692/x
  3. Step 3: Cross multiply
    118,212x = 181,692 × 181,692
  4. Step 4: Simplify right side
    118,212x = 33,011,982,864
  5. Step 5: Solve for x
    x = 33,011,982,864/118,212
  6. Step 6: Final answer
    x = 279,260.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.