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Finding the Third Proportional to 45,140 and 68,670

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Solution

The third proportional to 45,140 and 68,670 is: 104,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140 : 68,670 = 68,670 : x
  2. Step 2: Convert to fraction form
    45,140/68,670 = 68,670/x
  3. Step 3: Cross multiply
    45,140x = 68,670 × 68,670
  4. Step 4: Simplify right side
    45,140x = 4,715,568,900
  5. Step 5: Solve for x
    x = 4,715,568,900/45,140
  6. Step 6: Final answer
    x = 104,465.42

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.