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Finding the Third Proportional to 152,907 and 164,571

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Solution

The third proportional to 152,907 and 164,571 is: 177,124.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,907 : 164,571 = 164,571 : x
  2. Step 2: Convert to fraction form
    152,907/164,571 = 164,571/x
  3. Step 3: Cross multiply
    152,907x = 164,571 × 164,571
  4. Step 4: Simplify right side
    152,907x = 27,083,614,041
  5. Step 5: Solve for x
    x = 27,083,614,041/152,907
  6. Step 6: Final answer
    x = 177,124.75

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.