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Finding the Third Proportional to 105,751.50 and 163,827

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Solution

The third proportional to 105,751.50 and 163,827 is: 253,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,751.50 : 163,827 = 163,827 : x
  2. Step 2: Convert to fraction form
    105,751.50/163,827 = 163,827/x
  3. Step 3: Cross multiply
    105,751.50x = 163,827 × 163,827
  4. Step 4: Simplify right side
    105,751.50x = 26,839,285,929
  5. Step 5: Solve for x
    x = 26,839,285,929/105,751.50
  6. Step 6: Final answer
    x = 253,795.79

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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.