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Finding the Third Proportional to 123,682 and 271,035.50

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Solution

The third proportional to 123,682 and 271,035.50 is: 593,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,682 : 271,035.50 = 271,035.50 : x
  2. Step 2: Convert to fraction form
    123,682/271,035.50 = 271,035.50/x
  3. Step 3: Cross multiply
    123,682x = 271,035.50 × 271,035.50
  4. Step 4: Simplify right side
    123,682x = 73,460,242,260.25
  5. Step 5: Solve for x
    x = 73,460,242,260.25/123,682
  6. Step 6: Final answer
    x = 593,944.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.