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Finding the Third Proportional to 61,175.25 and 135,452.25

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Solution

The third proportional to 61,175.25 and 135,452.25 is: 299,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,175.25 : 135,452.25 = 135,452.25 : x
  2. Step 2: Convert to fraction form
    61,175.25/135,452.25 = 135,452.25/x
  3. Step 3: Cross multiply
    61,175.25x = 135,452.25 × 135,452.25
  4. Step 4: Simplify right side
    61,175.25x = 18,347,312,030.06
  5. Step 5: Solve for x
    x = 18,347,312,030.06/61,175.25
  6. Step 6: Final answer
    x = 299,913.97

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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.