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Finding the Third Proportional to 56,082 and 123,546

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Solution

The third proportional to 56,082 and 123,546 is: 272,166.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,082 : 123,546 = 123,546 : x
  2. Step 2: Convert to fraction form
    56,082/123,546 = 123,546/x
  3. Step 3: Cross multiply
    56,082x = 123,546 × 123,546
  4. Step 4: Simplify right side
    56,082x = 15,263,614,116
  5. Step 5: Solve for x
    x = 15,263,614,116/56,082
  6. Step 6: Final answer
    x = 272,166.01

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.