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Finding the Third Proportional to 57,543 and 91,601

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Solution

The third proportional to 57,543 and 91,601 is: 145,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,543 : 91,601 = 91,601 : x
  2. Step 2: Convert to fraction form
    57,543/91,601 = 91,601/x
  3. Step 3: Cross multiply
    57,543x = 91,601 × 91,601
  4. Step 4: Simplify right side
    57,543x = 8,390,743,201
  5. Step 5: Solve for x
    x = 8,390,743,201/57,543
  6. Step 6: Final answer
    x = 145,816.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.