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Finding the Third Proportional to 55,551.75 and 123,114

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Solution

The third proportional to 55,551.75 and 123,114 is: 272,845.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,551.75 : 123,114 = 123,114 : x
  2. Step 2: Convert to fraction form
    55,551.75/123,114 = 123,114/x
  3. Step 3: Cross multiply
    55,551.75x = 123,114 × 123,114
  4. Step 4: Simplify right side
    55,551.75x = 15,157,056,996
  5. Step 5: Solve for x
    x = 15,157,056,996/55,551.75
  6. Step 6: Final answer
    x = 272,845.72

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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.