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Finding the Third Proportional to 57,241 and 84,206

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Solution

The third proportional to 57,241 and 84,206 is: 123,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,241 : 84,206 = 84,206 : x
  2. Step 2: Convert to fraction form
    57,241/84,206 = 84,206/x
  3. Step 3: Cross multiply
    57,241x = 84,206 × 84,206
  4. Step 4: Simplify right side
    57,241x = 7,090,650,436
  5. Step 5: Solve for x
    x = 7,090,650,436/57,241
  6. Step 6: Final answer
    x = 123,873.63

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.