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Finding the Third Proportional to 57,698 and 124,144

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Solution

The third proportional to 57,698 and 124,144 is: 267,110.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,698 : 124,144 = 124,144 : x
  2. Step 2: Convert to fraction form
    57,698/124,144 = 124,144/x
  3. Step 3: Cross multiply
    57,698x = 124,144 × 124,144
  4. Step 4: Simplify right side
    57,698x = 15,411,732,736
  5. Step 5: Solve for x
    x = 15,411,732,736/57,698
  6. Step 6: Final answer
    x = 267,110.35

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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.