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Finding the Third Proportional to 47,013 and 97,914

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Solution

The third proportional to 47,013 and 97,914 is: 203,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,013 : 97,914 = 97,914 : x
  2. Step 2: Convert to fraction form
    47,013/97,914 = 97,914/x
  3. Step 3: Cross multiply
    47,013x = 97,914 × 97,914
  4. Step 4: Simplify right side
    47,013x = 9,587,151,396
  5. Step 5: Solve for x
    x = 9,587,151,396/47,013
  6. Step 6: Final answer
    x = 203,925.54

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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.