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Finding the Third Proportional to 57,136 and 117,056

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Solution

The third proportional to 57,136 and 117,056 is: 239,815.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,136 : 117,056 = 117,056 : x
  2. Step 2: Convert to fraction form
    57,136/117,056 = 117,056/x
  3. Step 3: Cross multiply
    57,136x = 117,056 × 117,056
  4. Step 4: Simplify right side
    57,136x = 13,702,107,136
  5. Step 5: Solve for x
    x = 13,702,107,136/57,136
  6. Step 6: Final answer
    x = 239,815.65

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.