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Finding the Third Proportional to 43,140 and 68,871

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Solution

The third proportional to 43,140 and 68,871 is: 109,949.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,140 : 68,871 = 68,871 : x
  2. Step 2: Convert to fraction form
    43,140/68,871 = 68,871/x
  3. Step 3: Cross multiply
    43,140x = 68,871 × 68,871
  4. Step 4: Simplify right side
    43,140x = 4,743,214,641
  5. Step 5: Solve for x
    x = 4,743,214,641/43,140
  6. Step 6: Final answer
    x = 109,949.34

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.