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Finding the Third Proportional to 32,081 and 74,963

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Solution

The third proportional to 32,081 and 74,963 is: 175,164.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,081 : 74,963 = 74,963 : x
  2. Step 2: Convert to fraction form
    32,081/74,963 = 74,963/x
  3. Step 3: Cross multiply
    32,081x = 74,963 × 74,963
  4. Step 4: Simplify right side
    32,081x = 5,619,451,369
  5. Step 5: Solve for x
    x = 5,619,451,369/32,081
  6. Step 6: Final answer
    x = 175,164.47

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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.