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Finding the Third Proportional to 54,328 and 72,682

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Solution

The third proportional to 54,328 and 72,682 is: 97,236.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,328 : 72,682 = 72,682 : x
  2. Step 2: Convert to fraction form
    54,328/72,682 = 72,682/x
  3. Step 3: Cross multiply
    54,328x = 72,682 × 72,682
  4. Step 4: Simplify right side
    54,328x = 5,282,673,124
  5. Step 5: Solve for x
    x = 5,282,673,124/54,328
  6. Step 6: Final answer
    x = 97,236.66

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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.