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Finding the Third Proportional to 40,210 and 59,145

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Solution

The third proportional to 40,210 and 59,145 is: 86,996.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,210 : 59,145 = 59,145 : x
  2. Step 2: Convert to fraction form
    40,210/59,145 = 59,145/x
  3. Step 3: Cross multiply
    40,210x = 59,145 × 59,145
  4. Step 4: Simplify right side
    40,210x = 3,498,131,025
  5. Step 5: Solve for x
    x = 3,498,131,025/40,210
  6. Step 6: Final answer
    x = 86,996.54

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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.