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Finding the Third Proportional to 57,790 and 124,201

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Solution

The third proportional to 57,790 and 124,201 is: 266,930.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790 : 124,201 = 124,201 : x
  2. Step 2: Convert to fraction form
    57,790/124,201 = 124,201/x
  3. Step 3: Cross multiply
    57,790x = 124,201 × 124,201
  4. Step 4: Simplify right side
    57,790x = 15,425,888,401
  5. Step 5: Solve for x
    x = 15,425,888,401/57,790
  6. Step 6: Final answer
    x = 266,930.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.