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Finding the Third Proportional to 32,917 and 72,078

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Solution

The third proportional to 32,917 and 72,078 is: 157,828.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,917 : 72,078 = 72,078 : x
  2. Step 2: Convert to fraction form
    32,917/72,078 = 72,078/x
  3. Step 3: Cross multiply
    32,917x = 72,078 × 72,078
  4. Step 4: Simplify right side
    32,917x = 5,195,238,084
  5. Step 5: Solve for x
    x = 5,195,238,084/32,917
  6. Step 6: Final answer
    x = 157,828.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.