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Finding the Third Proportional to 57,566 and 124,203

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Solution

The third proportional to 57,566 and 124,203 is: 267,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,566 : 124,203 = 124,203 : x
  2. Step 2: Convert to fraction form
    57,566/124,203 = 124,203/x
  3. Step 3: Cross multiply
    57,566x = 124,203 × 124,203
  4. Step 4: Simplify right side
    57,566x = 15,426,385,209
  5. Step 5: Solve for x
    x = 15,426,385,209/57,566
  6. Step 6: Final answer
    x = 267,977.37

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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.