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Finding the Third Proportional to 32,067 and 74,943

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Solution

The third proportional to 32,067 and 74,943 is: 175,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067 : 74,943 = 74,943 : x
  2. Step 2: Convert to fraction form
    32,067/74,943 = 74,943/x
  3. Step 3: Cross multiply
    32,067x = 74,943 × 74,943
  4. Step 4: Simplify right side
    32,067x = 5,616,453,249
  5. Step 5: Solve for x
    x = 5,616,453,249/32,067
  6. Step 6: Final answer
    x = 175,147.45

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.