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Finding the Third Proportional to 123,015.75 and 183,882.75

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Solution

The third proportional to 123,015.75 and 183,882.75 is: 274,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,015.75 : 183,882.75 = 183,882.75 : x
  2. Step 2: Convert to fraction form
    123,015.75/183,882.75 = 183,882.75/x
  3. Step 3: Cross multiply
    123,015.75x = 183,882.75 × 183,882.75
  4. Step 4: Simplify right side
    123,015.75x = 33,812,865,747.56
  5. Step 5: Solve for x
    x = 33,812,865,747.56/123,015.75
  6. Step 6: Final answer
    x = 274,866.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.