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Finding the Third Proportional to 108,903 and 163,399

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Solution

The third proportional to 108,903 and 163,399 is: 245,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,903 : 163,399 = 163,399 : x
  2. Step 2: Convert to fraction form
    108,903/163,399 = 163,399/x
  3. Step 3: Cross multiply
    108,903x = 163,399 × 163,399
  4. Step 4: Simplify right side
    108,903x = 26,699,233,201
  5. Step 5: Solve for x
    x = 26,699,233,201/108,903
  6. Step 6: Final answer
    x = 245,165.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.