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Finding the Third Proportional to 92,749.50 and 131,024.25

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Solution

The third proportional to 92,749.50 and 131,024.25 is: 185,093.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,749.50 : 131,024.25 = 131,024.25 : x
  2. Step 2: Convert to fraction form
    92,749.50/131,024.25 = 131,024.25/x
  3. Step 3: Cross multiply
    92,749.50x = 131,024.25 × 131,024.25
  4. Step 4: Simplify right side
    92,749.50x = 17,167,354,088.06
  5. Step 5: Solve for x
    x = 17,167,354,088.06/92,749.50
  6. Step 6: Final answer
    x = 185,093.76

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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.