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Finding the Third Proportional to 92,769 and 138,911

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Solution

The third proportional to 92,769 and 138,911 is: 208,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,769 : 138,911 = 138,911 : x
  2. Step 2: Convert to fraction form
    92,769/138,911 = 138,911/x
  3. Step 3: Cross multiply
    92,769x = 138,911 × 138,911
  4. Step 4: Simplify right side
    92,769x = 19,296,265,921
  5. Step 5: Solve for x
    x = 19,296,265,921/92,769
  6. Step 6: Final answer
    x = 208,003.38

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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.