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Finding the Third Proportional to 47,537 and 100,911

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Solution

The third proportional to 47,537 and 100,911 is: 214,212.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,537 : 100,911 = 100,911 : x
  2. Step 2: Convert to fraction form
    47,537/100,911 = 100,911/x
  3. Step 3: Cross multiply
    47,537x = 100,911 × 100,911
  4. Step 4: Simplify right side
    47,537x = 10,183,029,921
  5. Step 5: Solve for x
    x = 10,183,029,921/47,537
  6. Step 6: Final answer
    x = 214,212.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.