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Finding the Third Proportional to 92,009 and 187,888

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Solution

The third proportional to 92,009 and 187,888 is: 383,678.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,009 : 187,888 = 187,888 : x
  2. Step 2: Convert to fraction form
    92,009/187,888 = 187,888/x
  3. Step 3: Cross multiply
    92,009x = 187,888 × 187,888
  4. Step 4: Simplify right side
    92,009x = 35,301,900,544
  5. Step 5: Solve for x
    x = 35,301,900,544/92,009
  6. Step 6: Final answer
    x = 383,678.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.