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Finding the Third Proportional to 56,384 and 123,926

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Solution

The third proportional to 56,384 and 123,926 is: 272,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,384 : 123,926 = 123,926 : x
  2. Step 2: Convert to fraction form
    56,384/123,926 = 123,926/x
  3. Step 3: Cross multiply
    56,384x = 123,926 × 123,926
  4. Step 4: Simplify right side
    56,384x = 15,357,653,476
  5. Step 5: Solve for x
    x = 15,357,653,476/56,384
  6. Step 6: Final answer
    x = 272,376.09

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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.