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Finding the Third Proportional to 105,654 and 220,080

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Solution

The third proportional to 105,654 and 220,080 is: 458,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,654 : 220,080 = 220,080 : x
  2. Step 2: Convert to fraction form
    105,654/220,080 = 220,080/x
  3. Step 3: Cross multiply
    105,654x = 220,080 × 220,080
  4. Step 4: Simplify right side
    105,654x = 48,435,206,400
  5. Step 5: Solve for x
    x = 48,435,206,400/105,654
  6. Step 6: Final answer
    x = 458,432.30

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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.