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Finding the Third Proportional to 106,039 and 163,979

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Solution

The third proportional to 106,039 and 163,979 is: 253,577.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039 : 163,979 = 163,979 : x
  2. Step 2: Convert to fraction form
    106,039/163,979 = 163,979/x
  3. Step 3: Cross multiply
    106,039x = 163,979 × 163,979
  4. Step 4: Simplify right side
    106,039x = 26,889,112,441
  5. Step 5: Solve for x
    x = 26,889,112,441/106,039
  6. Step 6: Final answer
    x = 253,577.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.