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Finding the Third Proportional to 105,355.69 and 163,744.03

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Solution

The third proportional to 105,355.69 and 163,744.03 is: 254,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,355.69 : 163,744.03 = 163,744.03 : x
  2. Step 2: Convert to fraction form
    105,355.69/163,744.03 = 163,744.03/x
  3. Step 3: Cross multiply
    105,355.69x = 163,744.03 × 163,744.03
  4. Step 4: Simplify right side
    105,355.69x = 26,812,107,770.00
  5. Step 5: Solve for x
    x = 26,812,107,770.00/105,355.69
  6. Step 6: Final answer
    x = 254,491.32

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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.