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Finding the Third Proportional to 56,383 and 123,925

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Solution

The third proportional to 56,383 and 123,925 is: 272,376.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,383 : 123,925 = 123,925 : x
  2. Step 2: Convert to fraction form
    56,383/123,925 = 123,925/x
  3. Step 3: Cross multiply
    56,383x = 123,925 × 123,925
  4. Step 4: Simplify right side
    56,383x = 15,357,405,625
  5. Step 5: Solve for x
    x = 15,357,405,625/56,383
  6. Step 6: Final answer
    x = 272,376.53

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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.