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Finding the Third Proportional to 41,572 and 90,920

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Solution

The third proportional to 41,572 and 90,920 is: 198,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,572 : 90,920 = 90,920 : x
  2. Step 2: Convert to fraction form
    41,572/90,920 = 90,920/x
  3. Step 3: Cross multiply
    41,572x = 90,920 × 90,920
  4. Step 4: Simplify right side
    41,572x = 8,266,446,400
  5. Step 5: Solve for x
    x = 8,266,446,400/41,572
  6. Step 6: Final answer
    x = 198,846.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.