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Finding the Third Proportional to 108,858 and 168,141

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Solution

The third proportional to 108,858 and 168,141 is: 259,708.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,858 : 168,141 = 168,141 : x
  2. Step 2: Convert to fraction form
    108,858/168,141 = 168,141/x
  3. Step 3: Cross multiply
    108,858x = 168,141 × 168,141
  4. Step 4: Simplify right side
    108,858x = 28,271,395,881
  5. Step 5: Solve for x
    x = 28,271,395,881/108,858
  6. Step 6: Final answer
    x = 259,708.94

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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.