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Finding the Third Proportional to 52,692 and 125,946

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Solution

The third proportional to 52,692 and 125,946 is: 301,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,692 : 125,946 = 125,946 : x
  2. Step 2: Convert to fraction form
    52,692/125,946 = 125,946/x
  3. Step 3: Cross multiply
    52,692x = 125,946 × 125,946
  4. Step 4: Simplify right side
    52,692x = 15,862,394,916
  5. Step 5: Solve for x
    x = 15,862,394,916/52,692
  6. Step 6: Final answer
    x = 301,039.91

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.