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Finding the Third Proportional to 57,194.25 and 87,492.75

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Solution

The third proportional to 57,194.25 and 87,492.75 is: 133,841.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,194.25 : 87,492.75 = 87,492.75 : x
  2. Step 2: Convert to fraction form
    57,194.25/87,492.75 = 87,492.75/x
  3. Step 3: Cross multiply
    57,194.25x = 87,492.75 × 87,492.75
  4. Step 4: Simplify right side
    57,194.25x = 7,654,981,302.56
  5. Step 5: Solve for x
    x = 7,654,981,302.56/57,194.25
  6. Step 6: Final answer
    x = 133,841.80

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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.