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Finding the Third Proportional to 83,532 and 173,976

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Solution

The third proportional to 83,532 and 173,976 is: 362,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,532 : 173,976 = 173,976 : x
  2. Step 2: Convert to fraction form
    83,532/173,976 = 173,976/x
  3. Step 3: Cross multiply
    83,532x = 173,976 × 173,976
  4. Step 4: Simplify right side
    83,532x = 30,267,648,576
  5. Step 5: Solve for x
    x = 30,267,648,576/83,532
  6. Step 6: Final answer
    x = 362,347.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.