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Finding the Third Proportional to 105,963 and 220,548

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Solution

The third proportional to 105,963 and 220,548 is: 459,041.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,963 : 220,548 = 220,548 : x
  2. Step 2: Convert to fraction form
    105,963/220,548 = 220,548/x
  3. Step 3: Cross multiply
    105,963x = 220,548 × 220,548
  4. Step 4: Simplify right side
    105,963x = 48,641,420,304
  5. Step 5: Solve for x
    x = 48,641,420,304/105,963
  6. Step 6: Final answer
    x = 459,041.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.