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Finding the Third Proportional to 57,084.75 and 85,299.75

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Solution

The third proportional to 57,084.75 and 85,299.75 is: 127,460.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,084.75 : 85,299.75 = 85,299.75 : x
  2. Step 2: Convert to fraction form
    57,084.75/85,299.75 = 85,299.75/x
  3. Step 3: Cross multiply
    57,084.75x = 85,299.75 × 85,299.75
  4. Step 4: Simplify right side
    57,084.75x = 7,276,047,350.06
  5. Step 5: Solve for x
    x = 7,276,047,350.06/57,084.75
  6. Step 6: Final answer
    x = 127,460.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.