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Finding the Third Proportional to 41,742 and 89,559

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Solution

The third proportional to 41,742 and 89,559 is: 192,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 89,559 = 89,559 : x
  2. Step 2: Convert to fraction form
    41,742/89,559 = 89,559/x
  3. Step 3: Cross multiply
    41,742x = 89,559 × 89,559
  4. Step 4: Simplify right side
    41,742x = 8,020,814,481
  5. Step 5: Solve for x
    x = 8,020,814,481/41,742
  6. Step 6: Final answer
    x = 192,152.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.