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Finding the Third Proportional to 75,136 and 158,655

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Solution

The third proportional to 75,136 and 158,655 is: 335,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,136 : 158,655 = 158,655 : x
  2. Step 2: Convert to fraction form
    75,136/158,655 = 158,655/x
  3. Step 3: Cross multiply
    75,136x = 158,655 × 158,655
  4. Step 4: Simplify right side
    75,136x = 25,171,409,025
  5. Step 5: Solve for x
    x = 25,171,409,025/75,136
  6. Step 6: Final answer
    x = 335,011.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.