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Finding the Third Proportional to 59,812 and 125,821

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Solution

The third proportional to 59,812 and 125,821 is: 264,678.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,812 : 125,821 = 125,821 : x
  2. Step 2: Convert to fraction form
    59,812/125,821 = 125,821/x
  3. Step 3: Cross multiply
    59,812x = 125,821 × 125,821
  4. Step 4: Simplify right side
    59,812x = 15,830,924,041
  5. Step 5: Solve for x
    x = 15,830,924,041/59,812
  6. Step 6: Final answer
    x = 264,678.06

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.