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Finding the Third Proportional to 77,162 and 116,571

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Solution

The third proportional to 77,162 and 116,571 is: 176,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,162 : 116,571 = 116,571 : x
  2. Step 2: Convert to fraction form
    77,162/116,571 = 116,571/x
  3. Step 3: Cross multiply
    77,162x = 116,571 × 116,571
  4. Step 4: Simplify right side
    77,162x = 13,588,798,041
  5. Step 5: Solve for x
    x = 13,588,798,041/77,162
  6. Step 6: Final answer
    x = 176,107.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.