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Finding the Third Proportional to 47,629 and 100,604

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Solution

The third proportional to 47,629 and 100,604 is: 212,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,629 : 100,604 = 100,604 : x
  2. Step 2: Convert to fraction form
    47,629/100,604 = 100,604/x
  3. Step 3: Cross multiply
    47,629x = 100,604 × 100,604
  4. Step 4: Simplify right side
    47,629x = 10,121,164,816
  5. Step 5: Solve for x
    x = 10,121,164,816/47,629
  6. Step 6: Final answer
    x = 212,500.05

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.