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Finding the Third Proportional to 57,994 and 123,583

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Solution

The third proportional to 57,994 and 123,583 is: 263,350.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,994 : 123,583 = 123,583 : x
  2. Step 2: Convert to fraction form
    57,994/123,583 = 123,583/x
  3. Step 3: Cross multiply
    57,994x = 123,583 × 123,583
  4. Step 4: Simplify right side
    57,994x = 15,272,757,889
  5. Step 5: Solve for x
    x = 15,272,757,889/57,994
  6. Step 6: Final answer
    x = 263,350.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.