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Finding the Third Proportional to 47,552 and 100,909

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Solution

The third proportional to 47,552 and 100,909 is: 214,136.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552 : 100,909 = 100,909 : x
  2. Step 2: Convert to fraction form
    47,552/100,909 = 100,909/x
  3. Step 3: Cross multiply
    47,552x = 100,909 × 100,909
  4. Step 4: Simplify right side
    47,552x = 10,182,626,281
  5. Step 5: Solve for x
    x = 10,182,626,281/47,552
  6. Step 6: Final answer
    x = 214,136.66

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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.