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Finding the Third Proportional to 47,792 and 99,503

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Solution

The third proportional to 47,792 and 99,503 is: 207,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792 : 99,503 = 99,503 : x
  2. Step 2: Convert to fraction form
    47,792/99,503 = 99,503/x
  3. Step 3: Cross multiply
    47,792x = 99,503 × 99,503
  4. Step 4: Simplify right side
    47,792x = 9,900,847,009
  5. Step 5: Solve for x
    x = 9,900,847,009/47,792
  6. Step 6: Final answer
    x = 207,165.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.