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Finding the Third Proportional to 108,610 and 167,133

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Solution

The third proportional to 108,610 and 167,133 is: 257,190.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,610 : 167,133 = 167,133 : x
  2. Step 2: Convert to fraction form
    108,610/167,133 = 167,133/x
  3. Step 3: Cross multiply
    108,610x = 167,133 × 167,133
  4. Step 4: Simplify right side
    108,610x = 27,933,439,689
  5. Step 5: Solve for x
    x = 27,933,439,689/108,610
  6. Step 6: Final answer
    x = 257,190.31

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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.