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Finding the Third Proportional to 57,268 and 84,185

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Solution

The third proportional to 57,268 and 84,185 is: 123,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,268 : 84,185 = 84,185 : x
  2. Step 2: Convert to fraction form
    57,268/84,185 = 84,185/x
  3. Step 3: Cross multiply
    57,268x = 84,185 × 84,185
  4. Step 4: Simplify right side
    57,268x = 7,087,114,225
  5. Step 5: Solve for x
    x = 7,087,114,225/57,268
  6. Step 6: Final answer
    x = 123,753.48

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Why These Related Problems?

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