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Finding the Third Proportional to 71,348 and 106,825

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Solution

The third proportional to 71,348 and 106,825 is: 159,942.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,348 : 106,825 = 106,825 : x
  2. Step 2: Convert to fraction form
    71,348/106,825 = 106,825/x
  3. Step 3: Cross multiply
    71,348x = 106,825 × 106,825
  4. Step 4: Simplify right side
    71,348x = 11,411,580,625
  5. Step 5: Solve for x
    x = 11,411,580,625/71,348
  6. Step 6: Final answer
    x = 159,942.54

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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.