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Finding the Third Proportional to 41,742 and 85,536

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Solution

The third proportional to 41,742 and 85,536 is: 175,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,742 : 85,536 = 85,536 : x
  2. Step 2: Convert to fraction form
    41,742/85,536 = 85,536/x
  3. Step 3: Cross multiply
    41,742x = 85,536 × 85,536
  4. Step 4: Simplify right side
    41,742x = 7,316,407,296
  5. Step 5: Solve for x
    x = 7,316,407,296/41,742
  6. Step 6: Final answer
    x = 175,276.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.