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Finding the Third Proportional to 115,396 and 173,096

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Solution

The third proportional to 115,396 and 173,096 is: 259,647.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,396 : 173,096 = 173,096 : x
  2. Step 2: Convert to fraction form
    115,396/173,096 = 173,096/x
  3. Step 3: Cross multiply
    115,396x = 173,096 × 173,096
  4. Step 4: Simplify right side
    115,396x = 29,962,225,216
  5. Step 5: Solve for x
    x = 29,962,225,216/115,396
  6. Step 6: Final answer
    x = 259,647.00

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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.