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Finding the Third Proportional to 42,361 and 90,551

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Solution

The third proportional to 42,361 and 90,551 is: 193,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,361 : 90,551 = 90,551 : x
  2. Step 2: Convert to fraction form
    42,361/90,551 = 90,551/x
  3. Step 3: Cross multiply
    42,361x = 90,551 × 90,551
  4. Step 4: Simplify right side
    42,361x = 8,199,483,601
  5. Step 5: Solve for x
    x = 8,199,483,601/42,361
  6. Step 6: Final answer
    x = 193,562.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.