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Finding the Third Proportional to 123,559.50 and 271,176

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Solution

The third proportional to 123,559.50 and 271,176 is: 595,149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,559.50 : 271,176 = 271,176 : x
  2. Step 2: Convert to fraction form
    123,559.50/271,176 = 271,176/x
  3. Step 3: Cross multiply
    123,559.50x = 271,176 × 271,176
  4. Step 4: Simplify right side
    123,559.50x = 73,536,422,976
  5. Step 5: Solve for x
    x = 73,536,422,976/123,559.50
  6. Step 6: Final answer
    x = 595,149.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.