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Finding the Third Proportional to 57,126 and 124,053

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Solution

The third proportional to 57,126 and 124,053 is: 269,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,126 : 124,053 = 124,053 : x
  2. Step 2: Convert to fraction form
    57,126/124,053 = 124,053/x
  3. Step 3: Cross multiply
    57,126x = 124,053 × 124,053
  4. Step 4: Simplify right side
    57,126x = 15,389,146,809
  5. Step 5: Solve for x
    x = 15,389,146,809/57,126
  6. Step 6: Final answer
    x = 269,389.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.