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Finding the Third Proportional to 73,683 and 113,400

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Solution

The third proportional to 73,683 and 113,400 is: 174,525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,683 : 113,400 = 113,400 : x
  2. Step 2: Convert to fraction form
    73,683/113,400 = 113,400/x
  3. Step 3: Cross multiply
    73,683x = 113,400 × 113,400
  4. Step 4: Simplify right side
    73,683x = 12,859,560,000
  5. Step 5: Solve for x
    x = 12,859,560,000/73,683
  6. Step 6: Final answer
    x = 174,525.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.