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Finding the Third Proportional to 108,538 and 168,043

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Solution

The third proportional to 108,538 and 168,043 is: 260,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,538 : 168,043 = 168,043 : x
  2. Step 2: Convert to fraction form
    108,538/168,043 = 168,043/x
  3. Step 3: Cross multiply
    108,538x = 168,043 × 168,043
  4. Step 4: Simplify right side
    108,538x = 28,238,449,849
  5. Step 5: Solve for x
    x = 28,238,449,849/108,538
  6. Step 6: Final answer
    x = 260,171.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.