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Finding the Third Proportional to 105,793.50 and 163,914.75

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Solution

The third proportional to 105,793.50 and 163,914.75 is: 253,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,793.50 : 163,914.75 = 163,914.75 : x
  2. Step 2: Convert to fraction form
    105,793.50/163,914.75 = 163,914.75/x
  3. Step 3: Cross multiply
    105,793.50x = 163,914.75 × 163,914.75
  4. Step 4: Simplify right side
    105,793.50x = 26,868,045,267.56
  5. Step 5: Solve for x
    x = 26,868,045,267.56/105,793.50
  6. Step 6: Final answer
    x = 253,966.88

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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.