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Finding the Third Proportional to 115,692 and 173,082

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Solution

The third proportional to 115,692 and 173,082 is: 258,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,692 : 173,082 = 173,082 : x
  2. Step 2: Convert to fraction form
    115,692/173,082 = 173,082/x
  3. Step 3: Cross multiply
    115,692x = 173,082 × 173,082
  4. Step 4: Simplify right side
    115,692x = 29,957,378,724
  5. Step 5: Solve for x
    x = 29,957,378,724/115,692
  6. Step 6: Final answer
    x = 258,940.80

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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.