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Finding the Third Proportional to 40,204 and 59,100

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Solution

The third proportional to 40,204 and 59,100 is: 86,877.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,204 : 59,100 = 59,100 : x
  2. Step 2: Convert to fraction form
    40,204/59,100 = 59,100/x
  3. Step 3: Cross multiply
    40,204x = 59,100 × 59,100
  4. Step 4: Simplify right side
    40,204x = 3,492,810,000
  5. Step 5: Solve for x
    x = 3,492,810,000/40,204
  6. Step 6: Final answer
    x = 86,877.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.