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Finding the Third Proportional to 83,227.50 and 126,915.75

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Solution

The third proportional to 83,227.50 and 126,915.75 is: 193,537.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,227.50 : 126,915.75 = 126,915.75 : x
  2. Step 2: Convert to fraction form
    83,227.50/126,915.75 = 126,915.75/x
  3. Step 3: Cross multiply
    83,227.50x = 126,915.75 × 126,915.75
  4. Step 4: Simplify right side
    83,227.50x = 16,107,607,598.06
  5. Step 5: Solve for x
    x = 16,107,607,598.06/83,227.50
  6. Step 6: Final answer
    x = 193,537.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.