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Finding the Third Proportional to 65,751.75 and 94,023

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Solution

The third proportional to 65,751.75 and 94,023 is: 134,450.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,751.75 : 94,023 = 94,023 : x
  2. Step 2: Convert to fraction form
    65,751.75/94,023 = 94,023/x
  3. Step 3: Cross multiply
    65,751.75x = 94,023 × 94,023
  4. Step 4: Simplify right side
    65,751.75x = 8,840,324,529
  5. Step 5: Solve for x
    x = 8,840,324,529/65,751.75
  6. Step 6: Final answer
    x = 134,450.03

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.