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Finding the Third Proportional to 108,539 and 169,754

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Solution

The third proportional to 108,539 and 169,754 is: 265,493.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,539 : 169,754 = 169,754 : x
  2. Step 2: Convert to fraction form
    108,539/169,754 = 169,754/x
  3. Step 3: Cross multiply
    108,539x = 169,754 × 169,754
  4. Step 4: Simplify right side
    108,539x = 28,816,420,516
  5. Step 5: Solve for x
    x = 28,816,420,516/108,539
  6. Step 6: Final answer
    x = 265,493.70

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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.