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Finding the Third Proportional to 51,328 and 112,732

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Solution

The third proportional to 51,328 and 112,732 is: 247,593.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,328 : 112,732 = 112,732 : x
  2. Step 2: Convert to fraction form
    51,328/112,732 = 112,732/x
  3. Step 3: Cross multiply
    51,328x = 112,732 × 112,732
  4. Step 4: Simplify right side
    51,328x = 12,708,503,824
  5. Step 5: Solve for x
    x = 12,708,503,824/51,328
  6. Step 6: Final answer
    x = 247,593.98

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.