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Finding the Third Proportional to 106,488 and 161,676

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Solution

The third proportional to 106,488 and 161,676 is: 245,465.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,488 : 161,676 = 161,676 : x
  2. Step 2: Convert to fraction form
    106,488/161,676 = 161,676/x
  3. Step 3: Cross multiply
    106,488x = 161,676 × 161,676
  4. Step 4: Simplify right side
    106,488x = 26,139,128,976
  5. Step 5: Solve for x
    x = 26,139,128,976/106,488
  6. Step 6: Final answer
    x = 245,465.49

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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.