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Finding the Third Proportional to 61,365 and 132,975

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Solution

The third proportional to 61,365 and 132,975 is: 288,150.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,365 : 132,975 = 132,975 : x
  2. Step 2: Convert to fraction form
    61,365/132,975 = 132,975/x
  3. Step 3: Cross multiply
    61,365x = 132,975 × 132,975
  4. Step 4: Simplify right side
    61,365x = 17,682,350,625
  5. Step 5: Solve for x
    x = 17,682,350,625/61,365
  6. Step 6: Final answer
    x = 288,150.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.