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Finding the Third Proportional to 92,008 and 187,886

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Solution

The third proportional to 92,008 and 187,886 is: 383,674.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,008 : 187,886 = 187,886 : x
  2. Step 2: Convert to fraction form
    92,008/187,886 = 187,886/x
  3. Step 3: Cross multiply
    92,008x = 187,886 × 187,886
  4. Step 4: Simplify right side
    92,008x = 35,301,148,996
  5. Step 5: Solve for x
    x = 35,301,148,996/92,008
  6. Step 6: Final answer
    x = 383,674.78

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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.