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Finding the Third Proportional to 57,058 and 123,138

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Solution

The third proportional to 57,058 and 123,138 is: 265,746.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,058 : 123,138 = 123,138 : x
  2. Step 2: Convert to fraction form
    57,058/123,138 = 123,138/x
  3. Step 3: Cross multiply
    57,058x = 123,138 × 123,138
  4. Step 4: Simplify right side
    57,058x = 15,162,967,044
  5. Step 5: Solve for x
    x = 15,162,967,044/57,058
  6. Step 6: Final answer
    x = 265,746.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.