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Finding the Third Proportional to 92,014 and 123,660

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Solution

The third proportional to 92,014 and 123,660 is: 166,189.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,014 : 123,660 = 123,660 : x
  2. Step 2: Convert to fraction form
    92,014/123,660 = 123,660/x
  3. Step 3: Cross multiply
    92,014x = 123,660 × 123,660
  4. Step 4: Simplify right side
    92,014x = 15,291,795,600
  5. Step 5: Solve for x
    x = 15,291,795,600/92,014
  6. Step 6: Final answer
    x = 166,189.88

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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.