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Finding the Third Proportional to 59,596 and 82,094

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Solution

The third proportional to 59,596 and 82,094 is: 113,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,596 : 82,094 = 82,094 : x
  2. Step 2: Convert to fraction form
    59,596/82,094 = 82,094/x
  3. Step 3: Cross multiply
    59,596x = 82,094 × 82,094
  4. Step 4: Simplify right side
    59,596x = 6,739,424,836
  5. Step 5: Solve for x
    x = 6,739,424,836/59,596
  6. Step 6: Final answer
    x = 113,085.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.