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Finding the Third Proportional to 57,114 and 124,030

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Solution

The third proportional to 57,114 and 124,030 is: 269,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,114 : 124,030 = 124,030 : x
  2. Step 2: Convert to fraction form
    57,114/124,030 = 124,030/x
  3. Step 3: Cross multiply
    57,114x = 124,030 × 124,030
  4. Step 4: Simplify right side
    57,114x = 15,383,440,900
  5. Step 5: Solve for x
    x = 15,383,440,900/57,114
  6. Step 6: Final answer
    x = 269,346.24

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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.