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Finding the Third Proportional to 57,686 and 84,339

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Solution

The third proportional to 57,686 and 84,339 is: 123,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,686 : 84,339 = 84,339 : x
  2. Step 2: Convert to fraction form
    57,686/84,339 = 84,339/x
  3. Step 3: Cross multiply
    57,686x = 84,339 × 84,339
  4. Step 4: Simplify right side
    57,686x = 7,113,066,921
  5. Step 5: Solve for x
    x = 7,113,066,921/57,686
  6. Step 6: Final answer
    x = 123,306.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.