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Finding the Third Proportional to 45,040 and 71,682

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Solution

The third proportional to 45,040 and 71,682 is: 114,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,040 : 71,682 = 71,682 : x
  2. Step 2: Convert to fraction form
    45,040/71,682 = 71,682/x
  3. Step 3: Cross multiply
    45,040x = 71,682 × 71,682
  4. Step 4: Simplify right side
    45,040x = 5,138,309,124
  5. Step 5: Solve for x
    x = 5,138,309,124/45,040
  6. Step 6: Final answer
    x = 114,083.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.