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Finding the Third Proportional to 119,520 and 167,505

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Solution

The third proportional to 119,520 and 167,505 is: 234,755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,520 : 167,505 = 167,505 : x
  2. Step 2: Convert to fraction form
    119,520/167,505 = 167,505/x
  3. Step 3: Cross multiply
    119,520x = 167,505 × 167,505
  4. Step 4: Simplify right side
    119,520x = 28,057,925,025
  5. Step 5: Solve for x
    x = 28,057,925,025/119,520
  6. Step 6: Final answer
    x = 234,755.06

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.