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Finding the Third Proportional to 63,541 and 135,825

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Solution

The third proportional to 63,541 and 135,825 is: 290,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,541 : 135,825 = 135,825 : x
  2. Step 2: Convert to fraction form
    63,541/135,825 = 135,825/x
  3. Step 3: Cross multiply
    63,541x = 135,825 × 135,825
  4. Step 4: Simplify right side
    63,541x = 18,448,430,625
  5. Step 5: Solve for x
    x = 18,448,430,625/63,541
  6. Step 6: Final answer
    x = 290,339.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.