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Finding the Third Proportional to 56,325 and 123,666

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Solution

The third proportional to 56,325 and 123,666 is: 271,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,325 : 123,666 = 123,666 : x
  2. Step 2: Convert to fraction form
    56,325/123,666 = 123,666/x
  3. Step 3: Cross multiply
    56,325x = 123,666 × 123,666
  4. Step 4: Simplify right side
    56,325x = 15,293,279,556
  5. Step 5: Solve for x
    x = 15,293,279,556/56,325
  6. Step 6: Final answer
    x = 271,518.50

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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.