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Finding the Third Proportional to 57,058 and 82,187

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Solution

The third proportional to 57,058 and 82,187 is: 118,383.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058 : 82,187 = 82,187 : x
  2. Step 2: Convert to fraction form
    57,058/82,187 = 82,187/x
  3. Step 3: Cross multiply
    57,058x = 82,187 × 82,187
  4. Step 4: Simplify right side
    57,058x = 6,754,702,969
  5. Step 5: Solve for x
    x = 6,754,702,969/57,058
  6. Step 6: Final answer
    x = 118,383.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.