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Finding the Third Proportional to 57,243 and 124,019.75

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Solution

The third proportional to 57,243 and 124,019.75 is: 268,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243 : 124,019.75 = 124,019.75 : x
  2. Step 2: Convert to fraction form
    57,243/124,019.75 = 124,019.75/x
  3. Step 3: Cross multiply
    57,243x = 124,019.75 × 124,019.75
  4. Step 4: Simplify right side
    57,243x = 15,380,898,390.06
  5. Step 5: Solve for x
    x = 15,380,898,390.06/57,243
  6. Step 6: Final answer
    x = 268,694.83

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Why These Related Problems?

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