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Finding the Third Proportional to 92,003 and 123,642

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Solution

The third proportional to 92,003 and 123,642 is: 166,161.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,003 : 123,642 = 123,642 : x
  2. Step 2: Convert to fraction form
    92,003/123,642 = 123,642/x
  3. Step 3: Cross multiply
    92,003x = 123,642 × 123,642
  4. Step 4: Simplify right side
    92,003x = 15,287,344,164
  5. Step 5: Solve for x
    x = 15,287,344,164/92,003
  6. Step 6: Final answer
    x = 166,161.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.