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Finding the Third Proportional to 108,700 and 167,100

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Solution

The third proportional to 108,700 and 167,100 is: 256,875.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,700 : 167,100 = 167,100 : x
  2. Step 2: Convert to fraction form
    108,700/167,100 = 167,100/x
  3. Step 3: Cross multiply
    108,700x = 167,100 × 167,100
  4. Step 4: Simplify right side
    108,700x = 27,922,410,000
  5. Step 5: Solve for x
    x = 27,922,410,000/108,700
  6. Step 6: Final answer
    x = 256,875.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.