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Finding the Third Proportional to 56,982.94 and 123,999.75

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Solution

The third proportional to 56,982.94 and 123,999.75 is: 269,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,982.94 : 123,999.75 = 123,999.75 : x
  2. Step 2: Convert to fraction form
    56,982.94/123,999.75 = 123,999.75/x
  3. Step 3: Cross multiply
    56,982.94x = 123,999.75 × 123,999.75
  4. Step 4: Simplify right side
    56,982.94x = 15,375,938,000.06
  5. Step 5: Solve for x
    x = 15,375,938,000.06/56,982.94
  6. Step 6: Final answer
    x = 269,834.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.