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Finding the Third Proportional to 57,541 and 124,946

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Solution

The third proportional to 57,541 and 124,946 is: 271,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,541 : 124,946 = 124,946 : x
  2. Step 2: Convert to fraction form
    57,541/124,946 = 124,946/x
  3. Step 3: Cross multiply
    57,541x = 124,946 × 124,946
  4. Step 4: Simplify right side
    57,541x = 15,611,502,916
  5. Step 5: Solve for x
    x = 15,611,502,916/57,541
  6. Step 6: Final answer
    x = 271,310.94

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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.