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Finding the Third Proportional to 57,513.75 and 123,024

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Solution

The third proportional to 57,513.75 and 123,024 is: 263,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,513.75 : 123,024 = 123,024 : x
  2. Step 2: Convert to fraction form
    57,513.75/123,024 = 123,024/x
  3. Step 3: Cross multiply
    57,513.75x = 123,024 × 123,024
  4. Step 4: Simplify right side
    57,513.75x = 15,134,904,576
  5. Step 5: Solve for x
    x = 15,134,904,576/57,513.75
  6. Step 6: Final answer
    x = 263,152.80

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.