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Finding the Third Proportional to 41,854 and 91,970

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Solution

The third proportional to 41,854 and 91,970 is: 202,094.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,854 : 91,970 = 91,970 : x
  2. Step 2: Convert to fraction form
    41,854/91,970 = 91,970/x
  3. Step 3: Cross multiply
    41,854x = 91,970 × 91,970
  4. Step 4: Simplify right side
    41,854x = 8,458,480,900
  5. Step 5: Solve for x
    x = 8,458,480,900/41,854
  6. Step 6: Final answer
    x = 202,094.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.