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Finding the Third Proportional to 47,542 and 102,608

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Solution

The third proportional to 47,542 and 102,608 is: 221,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,542 : 102,608 = 102,608 : x
  2. Step 2: Convert to fraction form
    47,542/102,608 = 102,608/x
  3. Step 3: Cross multiply
    47,542x = 102,608 × 102,608
  4. Step 4: Simplify right side
    47,542x = 10,528,401,664
  5. Step 5: Solve for x
    x = 10,528,401,664/47,542
  6. Step 6: Final answer
    x = 221,454.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.