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Finding the Third Proportional to 92,749 and 131,023

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Solution

The third proportional to 92,749 and 131,023 is: 185,091.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,749 : 131,023 = 131,023 : x
  2. Step 2: Convert to fraction form
    92,749/131,023 = 131,023/x
  3. Step 3: Cross multiply
    92,749x = 131,023 × 131,023
  4. Step 4: Simplify right side
    92,749x = 17,167,026,529
  5. Step 5: Solve for x
    x = 17,167,026,529/92,749
  6. Step 6: Final answer
    x = 185,091.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.