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Finding the Third Proportional to 57,690 and 123,998

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Solution

The third proportional to 57,690 and 123,998 is: 266,519.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,690 : 123,998 = 123,998 : x
  2. Step 2: Convert to fraction form
    57,690/123,998 = 123,998/x
  3. Step 3: Cross multiply
    57,690x = 123,998 × 123,998
  4. Step 4: Simplify right side
    57,690x = 15,375,504,004
  5. Step 5: Solve for x
    x = 15,375,504,004/57,690
  6. Step 6: Final answer
    x = 266,519.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.