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Finding the Third Proportional to 108,103 and 173,695

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Solution

The third proportional to 108,103 and 173,695 is: 279,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,103 : 173,695 = 173,695 : x
  2. Step 2: Convert to fraction form
    108,103/173,695 = 173,695/x
  3. Step 3: Cross multiply
    108,103x = 173,695 × 173,695
  4. Step 4: Simplify right side
    108,103x = 30,169,953,025
  5. Step 5: Solve for x
    x = 30,169,953,025/108,103
  6. Step 6: Final answer
    x = 279,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.