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Finding the Third Proportional to 118,512 and 173,088

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Solution

The third proportional to 118,512 and 173,088 is: 252,796.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,512 : 173,088 = 173,088 : x
  2. Step 2: Convert to fraction form
    118,512/173,088 = 173,088/x
  3. Step 3: Cross multiply
    118,512x = 173,088 × 173,088
  4. Step 4: Simplify right side
    118,512x = 29,959,455,744
  5. Step 5: Solve for x
    x = 29,959,455,744/118,512
  6. Step 6: Final answer
    x = 252,796.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.