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Finding the Third Proportional to 92,771 and 138,913

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Solution

The third proportional to 92,771 and 138,913 is: 208,004.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,771 : 138,913 = 138,913 : x
  2. Step 2: Convert to fraction form
    92,771/138,913 = 138,913/x
  3. Step 3: Cross multiply
    92,771x = 138,913 × 138,913
  4. Step 4: Simplify right side
    92,771x = 19,296,821,569
  5. Step 5: Solve for x
    x = 19,296,821,569/92,771
  6. Step 6: Final answer
    x = 208,004.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.