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Finding the Third Proportional to 127,947 and 150,567

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Solution

The third proportional to 127,947 and 150,567 is: 177,186.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,947 : 150,567 = 150,567 : x
  2. Step 2: Convert to fraction form
    127,947/150,567 = 150,567/x
  3. Step 3: Cross multiply
    127,947x = 150,567 × 150,567
  4. Step 4: Simplify right side
    127,947x = 22,670,421,489
  5. Step 5: Solve for x
    x = 22,670,421,489/127,947
  6. Step 6: Final answer
    x = 177,186.03

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.