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Finding the Third Proportional to 71,088 and 164,571

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Solution

The third proportional to 71,088 and 164,571 is: 380,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088 : 164,571 = 164,571 : x
  2. Step 2: Convert to fraction form
    71,088/164,571 = 164,571/x
  3. Step 3: Cross multiply
    71,088x = 164,571 × 164,571
  4. Step 4: Simplify right side
    71,088x = 27,083,614,041
  5. Step 5: Solve for x
    x = 27,083,614,041/71,088
  6. Step 6: Final answer
    x = 380,987.14

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.