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Finding the Third Proportional to 117,007.50 and 167,205

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Solution

The third proportional to 117,007.50 and 167,205 is: 238,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,007.50 : 167,205 = 167,205 : x
  2. Step 2: Convert to fraction form
    117,007.50/167,205 = 167,205/x
  3. Step 3: Cross multiply
    117,007.50x = 167,205 × 167,205
  4. Step 4: Simplify right side
    117,007.50x = 27,957,512,025
  5. Step 5: Solve for x
    x = 27,957,512,025/117,007.50
  6. Step 6: Final answer
    x = 238,937.78

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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.