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Finding the Third Proportional to 57,224 and 85,504

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Solution

The third proportional to 57,224 and 85,504 is: 127,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,224 : 85,504 = 85,504 : x
  2. Step 2: Convert to fraction form
    57,224/85,504 = 85,504/x
  3. Step 3: Cross multiply
    57,224x = 85,504 × 85,504
  4. Step 4: Simplify right side
    57,224x = 7,310,934,016
  5. Step 5: Solve for x
    x = 7,310,934,016/57,224
  6. Step 6: Final answer
    x = 127,759.93

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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.