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Finding the Third Proportional to 57,229 and 83,241

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Solution

The third proportional to 57,229 and 83,241 is: 121,076.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229 : 83,241 = 83,241 : x
  2. Step 2: Convert to fraction form
    57,229/83,241 = 83,241/x
  3. Step 3: Cross multiply
    57,229x = 83,241 × 83,241
  4. Step 4: Simplify right side
    57,229x = 6,929,064,081
  5. Step 5: Solve for x
    x = 6,929,064,081/57,229
  6. Step 6: Final answer
    x = 121,076.10

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.