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Finding the Third Proportional to 124,676 and 275,602

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Solution

The third proportional to 124,676 and 275,602 is: 609,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,676 : 275,602 = 275,602 : x
  2. Step 2: Convert to fraction form
    124,676/275,602 = 275,602/x
  3. Step 3: Cross multiply
    124,676x = 275,602 × 275,602
  4. Step 4: Simplify right side
    124,676x = 75,956,462,404
  5. Step 5: Solve for x
    x = 75,956,462,404/124,676
  6. Step 6: Final answer
    x = 609,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.