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Finding the Third Proportional to 106,371 and 161,766

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Solution

The third proportional to 106,371 and 161,766 is: 246,009.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,371 : 161,766 = 161,766 : x
  2. Step 2: Convert to fraction form
    106,371/161,766 = 161,766/x
  3. Step 3: Cross multiply
    106,371x = 161,766 × 161,766
  4. Step 4: Simplify right side
    106,371x = 26,168,238,756
  5. Step 5: Solve for x
    x = 26,168,238,756/106,371
  6. Step 6: Final answer
    x = 246,009.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.