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Finding the Third Proportional to 57,662.50 and 125,165

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Solution

The third proportional to 57,662.50 and 125,165 is: 271,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.50 : 125,165 = 125,165 : x
  2. Step 2: Convert to fraction form
    57,662.50/125,165 = 125,165/x
  3. Step 3: Cross multiply
    57,662.50x = 125,165 × 125,165
  4. Step 4: Simplify right side
    57,662.50x = 15,666,277,225
  5. Step 5: Solve for x
    x = 15,666,277,225/57,662.50
  6. Step 6: Final answer
    x = 271,689.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.