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Finding the Third Proportional to 43,128 and 65,420

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Solution

The third proportional to 43,128 and 65,420 is: 99,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,128 : 65,420 = 65,420 : x
  2. Step 2: Convert to fraction form
    43,128/65,420 = 65,420/x
  3. Step 3: Cross multiply
    43,128x = 65,420 × 65,420
  4. Step 4: Simplify right side
    43,128x = 4,279,776,400
  5. Step 5: Solve for x
    x = 4,279,776,400/43,128
  6. Step 6: Final answer
    x = 99,234.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.