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Finding the Third Proportional to 53,183.25 and 85,683.38

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Solution

The third proportional to 53,183.25 and 85,683.38 is: 138,044.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,183.25 : 85,683.38 = 85,683.38 : x
  2. Step 2: Convert to fraction form
    53,183.25/85,683.38 = 85,683.38/x
  3. Step 3: Cross multiply
    53,183.25x = 85,683.38 × 85,683.38
  4. Step 4: Simplify right side
    53,183.25x = 7,341,640,751.39
  5. Step 5: Solve for x
    x = 7,341,640,751.39/53,183.25
  6. Step 6: Final answer
    x = 138,044.23

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.