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Finding the Third Proportional to 43,683.50 and 102,688

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Solution

The third proportional to 43,683.50 and 102,688 is: 241,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.50 : 102,688 = 102,688 : x
  2. Step 2: Convert to fraction form
    43,683.50/102,688 = 102,688/x
  3. Step 3: Cross multiply
    43,683.50x = 102,688 × 102,688
  4. Step 4: Simplify right side
    43,683.50x = 10,544,825,344
  5. Step 5: Solve for x
    x = 10,544,825,344/43,683.50
  6. Step 6: Final answer
    x = 241,391.49

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.