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Finding the Third Proportional to 105,753 and 221,883

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Solution

The third proportional to 105,753 and 221,883 is: 465,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,753 : 221,883 = 221,883 : x
  2. Step 2: Convert to fraction form
    105,753/221,883 = 221,883/x
  3. Step 3: Cross multiply
    105,753x = 221,883 × 221,883
  4. Step 4: Simplify right side
    105,753x = 49,232,065,689
  5. Step 5: Solve for x
    x = 49,232,065,689/105,753
  6. Step 6: Final answer
    x = 465,538.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.