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Finding the Third Proportional to 56,136 and 83,961

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Solution

The third proportional to 56,136 and 83,961 is: 125,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,136 : 83,961 = 83,961 : x
  2. Step 2: Convert to fraction form
    56,136/83,961 = 83,961/x
  3. Step 3: Cross multiply
    56,136x = 83,961 × 83,961
  4. Step 4: Simplify right side
    56,136x = 7,049,449,521
  5. Step 5: Solve for x
    x = 7,049,449,521/56,136
  6. Step 6: Final answer
    x = 125,578.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.