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Finding the Third Proportional to 57,957.75 and 123,023

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Solution

The third proportional to 57,957.75 and 123,023 is: 261,132.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,957.75 : 123,023 = 123,023 : x
  2. Step 2: Convert to fraction form
    57,957.75/123,023 = 123,023/x
  3. Step 3: Cross multiply
    57,957.75x = 123,023 × 123,023
  4. Step 4: Simplify right side
    57,957.75x = 15,134,658,529
  5. Step 5: Solve for x
    x = 15,134,658,529/57,957.75
  6. Step 6: Final answer
    x = 261,132.61

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.