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Finding the Third Proportional to 106,162 and 162,928

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Solution

The third proportional to 106,162 and 162,928 is: 250,047.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,162 : 162,928 = 162,928 : x
  2. Step 2: Convert to fraction form
    106,162/162,928 = 162,928/x
  3. Step 3: Cross multiply
    106,162x = 162,928 × 162,928
  4. Step 4: Simplify right side
    106,162x = 26,545,533,184
  5. Step 5: Solve for x
    x = 26,545,533,184/106,162
  6. Step 6: Final answer
    x = 250,047.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.