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Finding the Third Proportional to 71,812 and 153,399

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Solution

The third proportional to 71,812 and 153,399 is: 327,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,812 : 153,399 = 153,399 : x
  2. Step 2: Convert to fraction form
    71,812/153,399 = 153,399/x
  3. Step 3: Cross multiply
    71,812x = 153,399 × 153,399
  4. Step 4: Simplify right side
    71,812x = 23,531,253,201
  5. Step 5: Solve for x
    x = 23,531,253,201/71,812
  6. Step 6: Final answer
    x = 327,678.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.