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Finding the Third Proportional to 105,800 and 163,956

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Solution

The third proportional to 105,800 and 163,956 is: 254,079.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,800 : 163,956 = 163,956 : x
  2. Step 2: Convert to fraction form
    105,800/163,956 = 163,956/x
  3. Step 3: Cross multiply
    105,800x = 163,956 × 163,956
  4. Step 4: Simplify right side
    105,800x = 26,881,569,936
  5. Step 5: Solve for x
    x = 26,881,569,936/105,800
  6. Step 6: Final answer
    x = 254,079.11

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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.