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Finding the Third Proportional to 55,652 and 123,740

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Solution

The third proportional to 55,652 and 123,740 is: 275,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,652 : 123,740 = 123,740 : x
  2. Step 2: Convert to fraction form
    55,652/123,740 = 123,740/x
  3. Step 3: Cross multiply
    55,652x = 123,740 × 123,740
  4. Step 4: Simplify right side
    55,652x = 15,311,587,600
  5. Step 5: Solve for x
    x = 15,311,587,600/55,652
  6. Step 6: Final answer
    x = 275,130.95

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.