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Finding the Third Proportional to 47,508 and 102,549

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Solution

The third proportional to 47,508 and 102,549 is: 221,358.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,508 : 102,549 = 102,549 : x
  2. Step 2: Convert to fraction form
    47,508/102,549 = 102,549/x
  3. Step 3: Cross multiply
    47,508x = 102,549 × 102,549
  4. Step 4: Simplify right side
    47,508x = 10,516,297,401
  5. Step 5: Solve for x
    x = 10,516,297,401/47,508
  6. Step 6: Final answer
    x = 221,358.45

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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.