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Finding the Third Proportional to 57,672 and 139,583.25

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Solution

The third proportional to 57,672 and 139,583.25 is: 337,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,672 : 139,583.25 = 139,583.25 : x
  2. Step 2: Convert to fraction form
    57,672/139,583.25 = 139,583.25/x
  3. Step 3: Cross multiply
    57,672x = 139,583.25 × 139,583.25
  4. Step 4: Simplify right side
    57,672x = 19,483,483,680.56
  5. Step 5: Solve for x
    x = 19,483,483,680.56/57,672
  6. Step 6: Final answer
    x = 337,832.63

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.