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Finding the Third Proportional to 32,599 and 71,194

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Solution

The third proportional to 32,599 and 71,194 is: 155,482.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,599 : 71,194 = 71,194 : x
  2. Step 2: Convert to fraction form
    32,599/71,194 = 71,194/x
  3. Step 3: Cross multiply
    32,599x = 71,194 × 71,194
  4. Step 4: Simplify right side
    32,599x = 5,068,585,636
  5. Step 5: Solve for x
    x = 5,068,585,636/32,599
  6. Step 6: Final answer
    x = 155,482.86

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.