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Finding the Third Proportional to 115,696 and 173,088

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Solution

The third proportional to 115,696 and 173,088 is: 258,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,696 : 173,088 = 173,088 : x
  2. Step 2: Convert to fraction form
    115,696/173,088 = 173,088/x
  3. Step 3: Cross multiply
    115,696x = 173,088 × 173,088
  4. Step 4: Simplify right side
    115,696x = 29,959,455,744
  5. Step 5: Solve for x
    x = 29,959,455,744/115,696
  6. Step 6: Final answer
    x = 258,949.80

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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.