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Finding the Third Proportional to 108,172 and 148,404

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Solution

The third proportional to 108,172 and 148,404 is: 203,599.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,172 : 148,404 = 148,404 : x
  2. Step 2: Convert to fraction form
    108,172/148,404 = 148,404/x
  3. Step 3: Cross multiply
    108,172x = 148,404 × 148,404
  4. Step 4: Simplify right side
    108,172x = 22,023,747,216
  5. Step 5: Solve for x
    x = 22,023,747,216/108,172
  6. Step 6: Final answer
    x = 203,599.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.