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Finding the Third Proportional to 32,934 and 72,426

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Solution

The third proportional to 32,934 and 72,426 is: 159,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,934 : 72,426 = 72,426 : x
  2. Step 2: Convert to fraction form
    32,934/72,426 = 72,426/x
  3. Step 3: Cross multiply
    32,934x = 72,426 × 72,426
  4. Step 4: Simplify right side
    32,934x = 5,245,525,476
  5. Step 5: Solve for x
    x = 5,245,525,476/32,934
  6. Step 6: Final answer
    x = 159,273.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.