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Finding the Third Proportional to 71,084 and 149,544

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Solution

The third proportional to 71,084 and 149,544 is: 314,605.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 149,544 = 149,544 : x
  2. Step 2: Convert to fraction form
    71,084/149,544 = 149,544/x
  3. Step 3: Cross multiply
    71,084x = 149,544 × 149,544
  4. Step 4: Simplify right side
    71,084x = 22,363,407,936
  5. Step 5: Solve for x
    x = 22,363,407,936/71,084
  6. Step 6: Final answer
    x = 314,605.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.