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Finding the Third Proportional to 56,136 and 123,408

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Solution

The third proportional to 56,136 and 123,408 is: 271,297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136 : 123,408 = 123,408 : x
  2. Step 2: Convert to fraction form
    56,136/123,408 = 123,408/x
  3. Step 3: Cross multiply
    56,136x = 123,408 × 123,408
  4. Step 4: Simplify right side
    56,136x = 15,229,534,464
  5. Step 5: Solve for x
    x = 15,229,534,464/56,136
  6. Step 6: Final answer
    x = 271,297.11

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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.