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Finding the Third Proportional to 64,136 and 137,744

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Solution

The third proportional to 64,136 and 137,744 is: 295,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,136 : 137,744 = 137,744 : x
  2. Step 2: Convert to fraction form
    64,136/137,744 = 137,744/x
  3. Step 3: Cross multiply
    64,136x = 137,744 × 137,744
  4. Step 4: Simplify right side
    64,136x = 18,973,409,536
  5. Step 5: Solve for x
    x = 18,973,409,536/64,136
  6. Step 6: Final answer
    x = 295,830.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.