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Finding the Third Proportional to 68,740 and 104,550

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Solution

The third proportional to 68,740 and 104,550 is: 159,015.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,740 : 104,550 = 104,550 : x
  2. Step 2: Convert to fraction form
    68,740/104,550 = 104,550/x
  3. Step 3: Cross multiply
    68,740x = 104,550 × 104,550
  4. Step 4: Simplify right side
    68,740x = 10,930,702,500
  5. Step 5: Solve for x
    x = 10,930,702,500/68,740
  6. Step 6: Final answer
    x = 159,015.17

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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.