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Finding the Third Proportional to 83,265.50 and 126,984

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Solution

The third proportional to 83,265.50 and 126,984 is: 193,656.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.50 : 126,984 = 126,984 : x
  2. Step 2: Convert to fraction form
    83,265.50/126,984 = 126,984/x
  3. Step 3: Cross multiply
    83,265.50x = 126,984 × 126,984
  4. Step 4: Simplify right side
    83,265.50x = 16,124,936,256
  5. Step 5: Solve for x
    x = 16,124,936,256/83,265.50
  6. Step 6: Final answer
    x = 193,656.87

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