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Finding the Third Proportional to 71,524 and 106,806

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Solution

The third proportional to 71,524 and 106,806 is: 159,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,524 : 106,806 = 106,806 : x
  2. Step 2: Convert to fraction form
    71,524/106,806 = 106,806/x
  3. Step 3: Cross multiply
    71,524x = 106,806 × 106,806
  4. Step 4: Simplify right side
    71,524x = 11,407,521,636
  5. Step 5: Solve for x
    x = 11,407,521,636/71,524
  6. Step 6: Final answer
    x = 159,492.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.