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Finding the Third Proportional to 42,601 and 91,040

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Solution

The third proportional to 42,601 and 91,040 is: 194,556.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,601 : 91,040 = 91,040 : x
  2. Step 2: Convert to fraction form
    42,601/91,040 = 91,040/x
  3. Step 3: Cross multiply
    42,601x = 91,040 × 91,040
  4. Step 4: Simplify right side
    42,601x = 8,288,281,600
  5. Step 5: Solve for x
    x = 8,288,281,600/42,601
  6. Step 6: Final answer
    x = 194,556.03

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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.