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Finding the Third Proportional to 108,626 and 169,797

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Solution

The third proportional to 108,626 and 169,797 is: 265,415.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,626 : 169,797 = 169,797 : x
  2. Step 2: Convert to fraction form
    108,626/169,797 = 169,797/x
  3. Step 3: Cross multiply
    108,626x = 169,797 × 169,797
  4. Step 4: Simplify right side
    108,626x = 28,831,021,209
  5. Step 5: Solve for x
    x = 28,831,021,209/108,626
  6. Step 6: Final answer
    x = 265,415.47

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.