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Finding the Third Proportional to 56,144 and 123,352

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Solution

The third proportional to 56,144 and 123,352 is: 271,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144 : 123,352 = 123,352 : x
  2. Step 2: Convert to fraction form
    56,144/123,352 = 123,352/x
  3. Step 3: Cross multiply
    56,144x = 123,352 × 123,352
  4. Step 4: Simplify right side
    56,144x = 15,215,715,904
  5. Step 5: Solve for x
    x = 15,215,715,904/56,144
  6. Step 6: Final answer
    x = 271,012.32

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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.