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Finding the Third Proportional to 106,027 and 163,961

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Solution

The third proportional to 106,027 and 163,961 is: 253,550.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,027 : 163,961 = 163,961 : x
  2. Step 2: Convert to fraction form
    106,027/163,961 = 163,961/x
  3. Step 3: Cross multiply
    106,027x = 163,961 × 163,961
  4. Step 4: Simplify right side
    106,027x = 26,883,209,521
  5. Step 5: Solve for x
    x = 26,883,209,521/106,027
  6. Step 6: Final answer
    x = 253,550.60

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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.