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Finding the Third Proportional to 41,058 and 65,272

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Solution

The third proportional to 41,058 and 65,272 is: 103,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 65,272 = 65,272 : x
  2. Step 2: Convert to fraction form
    41,058/65,272 = 65,272/x
  3. Step 3: Cross multiply
    41,058x = 65,272 × 65,272
  4. Step 4: Simplify right side
    41,058x = 4,260,433,984
  5. Step 5: Solve for x
    x = 4,260,433,984/41,058
  6. Step 6: Final answer
    x = 103,766.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.