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Finding the Third Proportional to 41,999 and 90,560

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Solution

The third proportional to 41,999 and 90,560 is: 195,269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,999 : 90,560 = 90,560 : x
  2. Step 2: Convert to fraction form
    41,999/90,560 = 90,560/x
  3. Step 3: Cross multiply
    41,999x = 90,560 × 90,560
  4. Step 4: Simplify right side
    41,999x = 8,201,113,600
  5. Step 5: Solve for x
    x = 8,201,113,600/41,999
  6. Step 6: Final answer
    x = 195,269.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.