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Finding the Third Proportional to 83,456 and 128,100

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Solution

The third proportional to 83,456 and 128,100 is: 196,625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,456 : 128,100 = 128,100 : x
  2. Step 2: Convert to fraction form
    83,456/128,100 = 128,100/x
  3. Step 3: Cross multiply
    83,456x = 128,100 × 128,100
  4. Step 4: Simplify right side
    83,456x = 16,409,610,000
  5. Step 5: Solve for x
    x = 16,409,610,000/83,456
  6. Step 6: Final answer
    x = 196,625.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.