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Finding the Third Proportional to 116,893 and 167,145

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Solution

The third proportional to 116,893 and 167,145 is: 239,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,893 : 167,145 = 167,145 : x
  2. Step 2: Convert to fraction form
    116,893/167,145 = 167,145/x
  3. Step 3: Cross multiply
    116,893x = 167,145 × 167,145
  4. Step 4: Simplify right side
    116,893x = 27,937,451,025
  5. Step 5: Solve for x
    x = 27,937,451,025/116,893
  6. Step 6: Final answer
    x = 239,000.21

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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.