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Finding the Third Proportional to 45,744 and 68,726

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Solution

The third proportional to 45,744 and 68,726 is: 103,254.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,744 : 68,726 = 68,726 : x
  2. Step 2: Convert to fraction form
    45,744/68,726 = 68,726/x
  3. Step 3: Cross multiply
    45,744x = 68,726 × 68,726
  4. Step 4: Simplify right side
    45,744x = 4,723,263,076
  5. Step 5: Solve for x
    x = 4,723,263,076/45,744
  6. Step 6: Final answer
    x = 103,254.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.